help pls | Mathematics | Page 1

ionic copper Oct 26, 2023, 5:42 PM

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help me with couple of questions pls🙂

heavy cedarBOT Oct 26, 2023, 5:42 PM

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ionic copper Oct 26, 2023, 5:51 PM

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someone help me pls!!!!!!!😔

kindred peak Oct 26, 2023, 5:54 PM

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Solve the brackets first then bring all the x on one side and the other numbers on the other side

ionic copper Oct 26, 2023, 5:57 PM

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okay

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so would it be 5x-10=-6x-18+4

kindred peak Oct 26, 2023, 6:00 PM

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Yup

ionic copper Oct 26, 2023, 6:01 PM

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would it then be -x+24?

kindred peak Oct 26, 2023, 6:02 PM

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Pay attention on the plus and minus in the equation

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If it’s -6x you need to add 6x on both sides

ionic copper Oct 26, 2023, 6:03 PM

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ohhh ok

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would i add the 6x to 5x or -10

kindred peak Oct 26, 2023, 6:04 PM

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To 5x

ionic copper Oct 26, 2023, 6:04 PM

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okay

kindred peak Oct 26, 2023, 6:04 PM

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Always bring all the x together

ionic copper Oct 26, 2023, 6:04 PM

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so it would then be 11x-10=-18+4?

kindred peak Oct 26, 2023, 6:05 PM

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Yup

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Now bring the -10 to the other side

ionic copper Oct 26, 2023, 6:05 PM

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11x=-18-10+4?

kindred peak Oct 26, 2023, 6:08 PM

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Remember it’s minus 10

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In that case do you need to add or subtract 10?

ionic copper Oct 26, 2023, 6:08 PM

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add?

kindred peak Oct 26, 2023, 6:08 PM

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Yup

ionic copper Oct 26, 2023, 6:08 PM

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would i need to add to the other side?

kindred peak Oct 26, 2023, 6:09 PM

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ionic copper so it would then be 11x-10=-18+4?

Here add 10 to both sides

ionic copper Oct 26, 2023, 6:09 PM

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okay

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so 11x=-8+4?

kindred peak Oct 26, 2023, 6:11 PM

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Yup

ionic copper Oct 26, 2023, 6:12 PM

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would i then add 8 to -8?

kindred peak Oct 26, 2023, 6:15 PM

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No just calculate the right side

ionic copper Oct 26, 2023, 6:16 PM

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11x=-4

kindred peak Oct 26, 2023, 6:28 PM

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Then divide everything with 11

ionic copper Oct 26, 2023, 6:31 PM

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x=-4/11?

kindred peak Oct 26, 2023, 6:40 PM

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Yup

ionic copper Oct 26, 2023, 7:13 PM

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help with this one pls

ionic copper Oct 26, 2023, 7:38 PM

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@kindred peak

paper pond Oct 26, 2023, 8:58 PM

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,rotate

fresh groveBOT Oct 26, 2023, 8:58 PM

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kindred peak Oct 26, 2023, 8:59 PM

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Sry I just saw that

kindred peak Oct 26, 2023, 8:59 PM

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ionic copper help with this one pls

This is correct

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So first calculate the left side and then bring all the y on one side

ionic copper Oct 26, 2023, 9:24 PM

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would that be 4y-15+2=19?

dense plover Oct 26, 2023, 9:28 PM

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to solve it you need to bring all the y on one side of equality sign and all the normal numbers to the other side

dense plover Oct 26, 2023, 9:29 PM

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ionic copper would that be 4y-15+2=19?

yes it will

ionic copper Oct 26, 2023, 9:34 PM

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dense plover yes it will

okay thanks

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but what would i do from there?

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wait wouldnt i do +15 to the -15 and +15 to 19?

dense plover Oct 26, 2023, 9:36 PM

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What

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you add +15 because you need the -15 in first part to disappear and to do that you need to add +15, but you add +15 to both sides of the equation so it stays correct and equal, so it will be 4y - 15 + 15 + 2 = 19 + 15

dense plover Oct 26, 2023, 9:39 PM

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ionic copper wait wouldnt i do +15 to the -15 and +15 to 19?

ok I get what you meant

ionic copper Oct 26, 2023, 9:39 PM

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yuh

dense plover Oct 26, 2023, 9:39 PM

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same thing

ionic copper Oct 26, 2023, 9:40 PM

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would it now be 4y+2=34?

dense plover Oct 26, 2023, 9:41 PM

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yes

ionic copper Oct 26, 2023, 9:41 PM

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would i then add 2 onto the 34?

dense plover Oct 26, 2023, 9:41 PM

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Why?

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if you add it will be 4y + 2 + 2 = 34 + 2

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but you need 2 to be gone

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So you subtract 2 instead (from both sides)

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or you could say that you add -2 to both sides because -2 = +(-2)

ionic copper Oct 26, 2023, 9:44 PM

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ohhh ok

dense plover Oct 26, 2023, 9:47 PM

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if you want a number to be gone from a side then you need to add a number like that but with the opposite sign, for example if you want to remove 2 you add -2 to both sides, if you want to remove -6 then you add +6 to both sides

ionic copper Oct 26, 2023, 9:48 PM

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okok thanks

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how do i do that

kindred peak Oct 26, 2023, 9:56 PM

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This is correct

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Solve it like last time

ionic copper Oct 26, 2023, 10:02 PM

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3m = 20-m?

kindred peak Oct 26, 2023, 10:03 PM

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Yup

ionic copper Oct 26, 2023, 10:07 PM

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would i add 20 onto -20?

kindred peak Oct 26, 2023, 10:08 PM

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You need to bring all the m on one side

ionic copper Oct 26, 2023, 10:08 PM

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3m-m=20?

kindred peak Oct 26, 2023, 10:09 PM

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It’s +m

dense plover Oct 26, 2023, 10:10 PM

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ionic copper 3m-m=20?

a

ionic copper Oct 26, 2023, 10:10 PM

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okay

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4m = 20?

dense plover Oct 26, 2023, 10:12 PM

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Yes

ionic copper Oct 26, 2023, 10:13 PM

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m=5?

dense plover Oct 26, 2023, 10:16 PM

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yes

ionic copper Oct 27, 2023, 5:20 PM

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how would i do the rest of that equation

dense plover Oct 27, 2023, 8:41 PM

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,rotate

fresh groveBOT Oct 27, 2023, 8:41 PM

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dense plover Oct 27, 2023, 8:44 PM

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you know that you can also calculate numbers in equations and not just move them around?
for example, in -3x - 3 - 2 = 4x - 5x + 15 we can add -3 and -2 , that would be -5, and 4x - 5x = -x ( we can do that since they both are with x) and then it would look like -3x -5 = -x +15

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so if you were to solve this way

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@ionic copper

dense plover Oct 27, 2023, 8:46 PM

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dense plover you know that you can also calculate numbers in equations and not just move them...

It can only be done with numbers that are on the same side

ionic copper Oct 28, 2023, 6:46 PM

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sorry for responding late and thanks

ionic copper Oct 28, 2023, 7:05 PM

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someone help me with the rest of this pls

blissful kiln Oct 28, 2023, 7:15 PM

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3(5-4x)=(6x-3)/4

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4(15-12x)=6x-3

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60-48x=6x-3

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63=54x

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Hence x= 63/54

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Hence x = 7/6

ionic copper Oct 28, 2023, 7:21 PM

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blissful kiln 4(15-12x)=6x-3

where did the 4 come from?

blissful kiln Oct 28, 2023, 7:31 PM

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On the right part of the equation

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The (6x-3) is divided by 4

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So to cancel the division, we need to multiply both sides by 4

ionic copper Oct 28, 2023, 7:37 PM

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okay thanks

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help!

rose atlas Oct 28, 2023, 8:33 PM

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8y-8=5y+10

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8y=5y+18

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3y=18

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y=6

ionic copper Oct 28, 2023, 8:39 PM

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i dont understand

blissful kiln Oct 28, 2023, 8:40 PM

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@ionic copper what don’t you understand

ionic copper Oct 28, 2023, 8:40 PM

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the whole thing

blissful kiln Oct 28, 2023, 8:41 PM

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Ok

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When handling an equation

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You always need to apply anything you do to both sides

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And the whole point of the equation is to isolate a variable

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In this case y

ionic copper Oct 28, 2023, 8:42 PM

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yeah but theres no 8y

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so why is it 8y-8

blissful kiln Oct 28, 2023, 8:43 PM

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Because on the left side, the whole side is divided by 8

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So to cancel out the division you need to multiply by 8

ionic copper Oct 28, 2023, 8:43 PM

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im still confused

blissful kiln Oct 28, 2023, 8:44 PM

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At first you have (y-1)/5 = (y+2)/8

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We need to cancel out the division on the left and on the right

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How do I do that ?

ionic copper Oct 28, 2023, 8:44 PM

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idk

blissful kiln Oct 28, 2023, 8:44 PM

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Dang

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Any ideas

ionic copper Oct 28, 2023, 8:45 PM

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we gotta divide the demoniator by something

blissful kiln Oct 28, 2023, 8:45 PM

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Yes

ionic copper Oct 28, 2023, 8:45 PM

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would that be 40

blissful kiln Oct 28, 2023, 8:46 PM

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Yes

ionic copper Oct 28, 2023, 8:46 PM

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ohhh ok

blissful kiln Oct 28, 2023, 8:46 PM

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Dividing the denominator is the same as multiplying the numerator

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So you need to multiply by 40 on both sides

silent monolith Oct 28, 2023, 8:47 PM

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Since there is "=" between them you can cross multiply and then expand, and solve for y

ionic copper Oct 28, 2023, 8:47 PM

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would i multiply the numerator too?

blissful kiln Oct 28, 2023, 8:47 PM

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silent monolith Since there is "=" between them you can cross multiply and then expand, and solv...

Yes but firstly let s focus on solving the normal way

blissful kiln Oct 28, 2023, 8:48 PM

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ionic copper would i multiply the numerator too?

You can t only divide the denominator

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By multiplying by 40 you have

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(40 (y-1))/5 = (40(y+2))/8

ionic copper Oct 28, 2023, 8:49 PM

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oh ok

blissful kiln Oct 28, 2023, 8:49 PM

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And this is 8(y-1)=5(y+2)

ionic copper Oct 28, 2023, 8:49 PM

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blissful kiln (40 (y-1))/5 = (40(y+2))/8

why is the 5 and 8 still there if we got rid of it

blissful kiln Oct 28, 2023, 8:50 PM

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You still have 5 and 8 but those aren’t division

ionic copper Oct 28, 2023, 8:50 PM

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im so confused

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i thought the 40 gets rid of those numbers

blissful kiln Oct 28, 2023, 8:50 PM

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It does

ionic copper Oct 28, 2023, 8:51 PM

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but then why is it there

blissful kiln Oct 28, 2023, 8:51 PM

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Because it cancels the division but it doesn’t make it disappear

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Since now you have 40/8

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Which isn’t 1

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But is equal to 5

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So there is no more division but only a multiplication

ionic copper Oct 28, 2023, 8:53 PM

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oh ok

blissful kiln Oct 28, 2023, 8:53 PM

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Did you understand why we now have 8(y-1)= 5(y+2) ?

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And if yes

ionic copper Oct 28, 2023, 8:54 PM

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not rlly

silent monolith Oct 28, 2023, 8:54 PM

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@ionic copper have you ever heard of cross and multiply?

ionic copper Oct 28, 2023, 8:55 PM

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yeah

blissful kiln Oct 28, 2023, 8:55 PM

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Maybe watch a video explaining how to solve an equation

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Such as this one

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https://youtu.be/Z-ZkmpQBIFo?si=qh0Z87FIUvoswlR9

YouTube

The Organic Chemistry Tutor

Algebra - How To Solve Equations Quickly!

This pre-algebra video tutorial explains the process of solving two step equations with fractions and variables on both sides. It also explains how to solve 2-step equations with parentheses and decimals. This video contains plenty of examples and practice problems.

My Website: https://www.video-tutor.net
Patreon: https://www.patreon.com/Ma...

▶ Play video

ionic copper Oct 28, 2023, 8:55 PM

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ok ill watch it

silent monolith Oct 28, 2023, 8:55 PM

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ionic copper yeah

Okay follow what I said. Cross multiply for both sides and then expand it

ionic copper Oct 28, 2023, 8:56 PM

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idk how to do cross multiply

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will this work for any equation?

silent monolith Oct 28, 2023, 9:01 PM

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"X" is that you are giving the numbers to the numerator

silent monolith Oct 28, 2023, 9:01 PM

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ionic copper will this work for any equation?

No, only if both sides are fractions

ionic copper Oct 28, 2023, 9:01 PM

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silent monolith "X" is that you are giving the numbers to the numerator

okok

silent monolith Oct 28, 2023, 9:02 PM

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And then just expand

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By multiplying

ionic copper Oct 28, 2023, 9:02 PM

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okay

silent monolith Oct 28, 2023, 9:02 PM

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Is it clear now?

ionic copper Oct 28, 2023, 9:03 PM

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i tihnk

silent monolith Oct 28, 2023, 9:03 PM

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Okay I think you should definitely watch YT how to solve this problem

ionic copper Oct 28, 2023, 9:04 PM

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will do

silent monolith Oct 28, 2023, 9:04 PM

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That's great

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I hope you get it though

ionic copper Oct 28, 2023, 9:04 PM

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thank you

silent monolith Oct 28, 2023, 9:05 PM

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You are welcome

ionic copper Oct 28, 2023, 9:08 PM

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did i do it right?

silent monolith Oct 28, 2023, 9:09 PM

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Yeah, that's right

ionic copper Oct 28, 2023, 9:09 PM

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ok thanks

proud jetty Oct 28, 2023, 9:09 PM

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Yeah, u can always check by substituting the value u got for y back into the equation

ionic copper Oct 28, 2023, 9:10 PM

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okok

silent monolith Oct 28, 2023, 9:12 PM

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To check, y=6
L.S = 6-1/5
=1
R.S =6+2/8
=1
Therefore, R.S =L.S

ionic copper Oct 28, 2023, 9:14 PM

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i dont understand how formal checks work

silent monolith Oct 28, 2023, 9:14 PM

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You just plug in the number you get when you solve

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To the original problem

proud jetty Oct 28, 2023, 9:15 PM

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Example: 2x = 6 --> You find out x = 3 so to check you do --> 2(3) which should equal six not good explanation but u get the point

ionic copper Oct 28, 2023, 9:17 PM

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oh ok i understand

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i did this equation wrong and dunno how to fix it help pls

dense plover Oct 28, 2023, 9:23 PM

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you can only cross multiply if both sides are fractions

ionic copper Oct 28, 2023, 9:24 PM

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ohhh

dense plover Oct 28, 2023, 9:24 PM

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you can bring +3 to a fraction though

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3 = 18/6

ionic copper Oct 28, 2023, 9:25 PM

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would i multiply the denominator by 12?

dense plover Oct 28, 2023, 9:26 PM

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dense plover 3 = 18/6

because 3 = 3/1 then multiply both the upper number and the lower number by 6 , 3/1 = 18/6

dense plover Oct 28, 2023, 9:26 PM

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ionic copper would i multiply the denominator by 12?

which one?

ionic copper Oct 28, 2023, 9:26 PM

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both

dense plover Oct 28, 2023, 9:28 PM

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you could, but you need to multiply both sides for the equation to stay equal and correct so you would get 12((x-7)/6 + 3) = 12((x+1)/2)

ionic copper Oct 28, 2023, 9:29 PM

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okay

dense plover Oct 28, 2023, 9:29 PM

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do you understand

ionic copper Oct 28, 2023, 9:29 PM

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yeah

dense plover Oct 28, 2023, 9:29 PM

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okay

ionic copper Oct 28, 2023, 9:32 PM

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nvm i dont understand

dense plover Oct 28, 2023, 9:32 PM

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okay what you didn't understand?

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show your solution attempt

ionic copper Oct 28, 2023, 9:32 PM

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idk what to times 12 by

dense plover Oct 28, 2023, 9:33 PM

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Both sides of equation

silent monolith Oct 28, 2023, 9:33 PM

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Why 12 if you have 6 as your lowest common multiple?

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Multiply everything by 6

ionic copper Oct 28, 2023, 9:33 PM

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oh i didnt even realise that

dense plover Oct 28, 2023, 9:34 PM

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I didn't too

silent monolith Oct 28, 2023, 9:34 PM

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It's okay

ionic copper Oct 28, 2023, 9:35 PM

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do i times 6 by the denominator and numerator

silent monolith Oct 28, 2023, 9:35 PM

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Mhm

dense plover Oct 28, 2023, 9:36 PM

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ionic copper do i times 6 by the denominator and numerator

You do like this:

ionic copper Oct 28, 2023, 9:36 PM

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okay

silent monolith Oct 28, 2023, 9:36 PM

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6(x-7/6) +3*6= 6(x+1/2)

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Be careful with the right side

ionic copper Oct 28, 2023, 9:38 PM

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would it be that?

silent monolith Oct 28, 2023, 9:38 PM

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6 won't go away if you divide 6 by 2 it gives you 3, so your right side should be something like 3(x+1) then expand

dense plover Oct 28, 2023, 9:38 PM

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ionic copper would it be that?

Why is there 36 and 12?

ionic copper Oct 28, 2023, 9:38 PM

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cuz i did 6x6 and 6x2

dense plover Oct 28, 2023, 9:40 PM

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you only multiply the upper part and the lower part when you are trying to get the number with the same value but looking different

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And here you multiply the entire equation

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So you multiply x-7/ 6 normally

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only put 6 in upper part

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I really don't know how to explain this

ionic copper Oct 28, 2023, 9:42 PM

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was i supposed to multiply the 3?

dense plover Oct 28, 2023, 9:42 PM

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Of course

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If you don't your equation won't stay correct

ionic copper Oct 28, 2023, 9:42 PM

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okay

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what would i do now

dense plover Oct 28, 2023, 9:44 PM

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dense plover you only multiply the upper part and the lower part when you are trying to get ...

dense plover Oct 28, 2023, 9:45 PM

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ionic copper what would i do now

What you have now?

ionic copper Oct 28, 2023, 9:46 PM

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i have this but idk how to do the rest

dense plover Oct 28, 2023, 9:46 PM

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Okay this is better

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but you see the lower part is not gone, 6 and 2 is still there

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(6x-42)/6 is 6(x-7)/6

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so what you can do with 6?

ionic copper Oct 28, 2023, 9:49 PM

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im confused

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how did it turn into 6(x-7)/6

dense plover Oct 28, 2023, 9:50 PM

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Okay tell me how do you multiply x-7/6 by 6?

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You multiply only the upper part here, so you get what?

ionic copper Oct 28, 2023, 9:52 PM

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x-42/6?

dense plover Oct 28, 2023, 9:52 PM

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no , what was in the image was correct

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But it doesn't help remove 6 and 2

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So your goal is to remove 6

ionic copper Oct 28, 2023, 9:53 PM

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do i divide 6 by 6?

dense plover Oct 28, 2023, 9:53 PM

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yes

ionic copper Oct 28, 2023, 9:53 PM

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okay

dense plover Oct 28, 2023, 9:55 PM

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for example you need to remove the 2 on this image

ionic copper Oct 28, 2023, 9:56 PM

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im confused again

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i remove 4 and 2?

dense plover Oct 28, 2023, 9:59 PM

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ionic copper im confused again

you understand what I did on the image? If you don't understand some part, then tell me

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this works because

ionic copper Oct 28, 2023, 10:00 PM

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dense plover you understand what I did on the image? If you don't understand some part, then ...

i dont understand anything on it

dense plover Oct 28, 2023, 10:01 PM

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Okay, so what is 4(5 + 1/2)?

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What does it mean?

ionic copper Oct 28, 2023, 10:01 PM

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its a fraction

dense plover Oct 28, 2023, 10:02 PM

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Okay and what is a fraction and what can you do with it?

ionic copper Oct 28, 2023, 10:03 PM

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a fraction is like how many u have of something and i think i can times 4 by whats in the brackets

dense plover Oct 28, 2023, 10:05 PM

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ionic copper a fraction is like how many u have of something and i think i can times 4 by wha...

a fraction is a form of writing division, for example 2 : 3 = 2/3, it can mean how many of something you have too, but it's not very helpful in this kind of math problems

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What do you know about division?

ionic copper Oct 28, 2023, 10:07 PM

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how much of something can be divieded by a number

dense plover Oct 28, 2023, 10:08 PM

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Yes

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Do you know any rules and properties of it?

ionic copper Oct 28, 2023, 10:09 PM

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no

dense plover Oct 28, 2023, 10:10 PM

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okay

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ok this is quite hard to explain

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I will try

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What does this mean?

ionic copper Oct 28, 2023, 10:12 PM

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wait ill brb

dense plover Oct 28, 2023, 10:12 PM

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okay

dense plover Oct 28, 2023, 10:28 PM

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I think this explains it well https://youtu.be/AtBUQH8Tkqc?feature=shared

YouTube

mathantics

Math Antics - Simplifying Fractions

Learn More at mathantics.com
Visit http://www.mathantics.com for more Free math videos and additional subscription based content!

▶ Play video

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(not the 3/4 thing)

ionic copper Oct 28, 2023, 10:49 PM

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dense plover What does this mean?

theres 3 out of 4th of something which equals 3 times 1 4th of something?

ionic copper Oct 28, 2023, 10:49 PM

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dense plover I think this explains it well https://youtu.be/AtBUQH8Tkqc?feature=shared

thanks

dense plover Oct 28, 2023, 10:50 PM

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ionic copper theres 3 out of 4th of something which equals 3 times 1 4th of something?

please watch it

ionic copper Oct 28, 2023, 10:50 PM

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okay

dense plover Oct 28, 2023, 10:50 PM

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Wrong reply

dense plover Oct 28, 2023, 10:50 PM

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ionic copper theres 3 out of 4th of something which equals 3 times 1 4th of something?

yes, but why?

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but first watch the video, it's very important concept

ionic copper Oct 28, 2023, 10:51 PM

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okok ill watch the video first

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i finished watching the vid

dense plover Oct 28, 2023, 11:02 PM

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okay do you understand better now?

ionic copper Oct 28, 2023, 11:02 PM

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yeah

dense plover Oct 28, 2023, 11:03 PM

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try solving the original problem again

ionic copper Oct 28, 2023, 11:03 PM

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okay

dense plover Oct 28, 2023, 11:04 PM

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post what you get when you solve it

ionic copper Oct 28, 2023, 11:04 PM

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ok

dense plover Oct 28, 2023, 11:18 PM

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ionic copper ok

have you solved it? ( i have to go sleep soon, its 2 am for me)

ionic copper Oct 28, 2023, 11:18 PM

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i think i did it

dense plover Oct 28, 2023, 11:18 PM

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send your solution

ionic copper Oct 28, 2023, 11:18 PM

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dense plover Oct 28, 2023, 11:20 PM

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why is it 6x - 42 if you removed both 6?

ionic copper Oct 28, 2023, 11:20 PM

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i times the 6 by x

dense plover Oct 28, 2023, 11:21 PM

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you had 6(x-7)/6, you can remove the 6 here as was said in the video, so you get x - 7

ionic copper Oct 28, 2023, 11:22 PM

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but getting x-7 wouldnt work

dense plover Oct 28, 2023, 11:22 PM

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Why?

ionic copper Oct 28, 2023, 11:23 PM

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cuz then u cant add both of the 6x to get 12x

dense plover Oct 28, 2023, 11:24 PM

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Why do you want 12 x?

ionic copper Oct 28, 2023, 11:24 PM

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bc when i divide 48/12 i get 4

dense plover Oct 28, 2023, 11:25 PM

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But if you get x-7 there will be different things and you won't need 12 x

ionic copper Oct 28, 2023, 11:25 PM

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different things like what

dense plover Oct 28, 2023, 11:26 PM

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so at first it goes like this:

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do you understand why?

dense plover Oct 28, 2023, 11:26 PM

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ionic copper different things like what

Different x and different normal numbers

ionic copper Oct 28, 2023, 11:27 PM

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dense plover do you understand why?

i dont understand

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i give up

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im done w math

dense plover Oct 28, 2023, 11:27 PM

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what grade are you in?

ionic copper Oct 28, 2023, 11:27 PM

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9

dense plover Oct 28, 2023, 11:27 PM

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oh wow we learned all this in 7 grade

ionic copper Oct 28, 2023, 11:27 PM

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ok well its different where i live

dense plover Oct 28, 2023, 11:27 PM

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not very good school I guess

dense plover Oct 28, 2023, 11:28 PM

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ionic copper im done w math

if you don't learn these concepts, they will still follow you, this is basic algebra

ionic copper Oct 28, 2023, 11:28 PM

#

well ill fail math then

dense plover Oct 28, 2023, 11:28 PM

#

you can try tomorrow if you don't feel like it

ionic copper Oct 28, 2023, 11:28 PM

#

okay

#

byebye

dense plover Oct 28, 2023, 11:29 PM

#

bye

reef otter Oct 28, 2023, 11:58 PM

#

did you solve this yet

#

if you didnt, just distribute, combine like terms, and divide

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isolate the x

ionic copper Oct 29, 2023, 1:27 AM

#

reef otter did you solve this yet

no

ionic copper Oct 29, 2023, 1:27 AM

#

reef otter if you didnt, just distribute, combine like terms, and divide

idk how to do that tho

reef otter Oct 29, 2023, 1:27 AM

#

which question

#

can you send the pic

ionic copper Oct 29, 2023, 1:28 AM

#

yup

#

reef otter Oct 29, 2023, 1:29 AM

#

ok so you dont want fractions so to get rid of the fraction multiply every term by the lcm

#

in this case its 6

ionic copper Oct 29, 2023, 1:29 AM

#

would 6 get rid of the 2 as well?

reef otter Oct 29, 2023, 1:29 AM

#

yes

#

so that would leave you with

#

6x-42 +18 = 3x+3

ionic copper Oct 29, 2023, 1:30 AM

#

doesnt it have to be the same number to cancle each other out?

reef otter Oct 29, 2023, 1:30 AM

#

you dont have to cancel the 2 out completely

#

just get rid of the fraction

#

you can cross cancel 6 and 2 which is 3

#

3 (x+1) = 3x+3

ionic copper Oct 29, 2023, 1:30 AM

#

okay

reef otter Oct 29, 2023, 1:31 AM

#

then combine like terms

#

do you know how to do that

ionic copper Oct 29, 2023, 1:31 AM

#

wait how did u get 3x

reef otter Oct 29, 2023, 1:32 AM

#

because i multiplied 6 to every term

ionic copper Oct 29, 2023, 1:32 AM

#

x(3)?

reef otter Oct 29, 2023, 1:32 AM

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yes

ionic copper Oct 29, 2023, 1:32 AM

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okay

reef otter Oct 29, 2023, 1:32 AM

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becuse i cross canceled

#

so when you combine like terms

#

6x-3x= 3x

#

leaving you with

#

3x-42+18=3

ionic copper Oct 29, 2023, 1:33 AM

#

okay

reef otter Oct 29, 2023, 1:33 AM

#

-42+18=

#

wait lemme think...

ionic copper Oct 29, 2023, 1:33 AM

#

reef otter 6x-3x= 3x

howd u get -3x

reef otter Oct 29, 2023, 1:33 AM

#

-24

reef otter Oct 29, 2023, 1:34 AM

#

ionic copper howd u get -3x

i combined the terms with x together

#

because i want to isolate the variable (x)

#

i put them all to one side of the equation

ionic copper Oct 29, 2023, 1:34 AM

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yeaj but theres no -3x

reef otter Oct 29, 2023, 1:34 AM

#

ohh

#

thats bc i substracted 3x on both sides

#

sry for the confusion

ionic copper Oct 29, 2023, 1:35 AM

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its ok

reef otter Oct 29, 2023, 1:35 AM

#

ok so

#

the equation would become

#

3x-24=3

#

add 24 on both sides

#

3x = 27

#

but you'd only want x so divide by 3

#

therefore, x=9

ionic copper Oct 29, 2023, 1:36 AM

#

wait

reef otter Oct 29, 2023, 1:37 AM

#

ok

ionic copper Oct 29, 2023, 1:37 AM

#

i checked the answer sheet and it says x=4

reef otter Oct 29, 2023, 1:37 AM

#

oh

#

lemme do it again

ionic copper Oct 29, 2023, 1:37 AM

#

okay

reef otter Oct 29, 2023, 1:38 AM

#

omg

#

im so stupid

#

so

#

i multiplied 6 for all terms right

ionic copper Oct 29, 2023, 1:38 AM

#

yeah

reef otter Oct 29, 2023, 1:39 AM

#

so that would get rid of the fraction

#

so the firsst term would become x-7

ionic copper Oct 29, 2023, 1:39 AM

#

wouldnt it be 6x-7?

reef otter Oct 29, 2023, 1:39 AM

#

how did you get that

ionic copper Oct 29, 2023, 1:39 AM

#

bc ur multiplying x too

reef otter Oct 29, 2023, 1:40 AM

#

x-7/6 is one term

ionic copper Oct 29, 2023, 1:40 AM

#

i think u would have to multiply 3 too

reef otter Oct 29, 2023, 1:40 AM

#

yeah you have to multiply 3

ionic copper Oct 29, 2023, 1:41 AM

#

why wouldnt i multiply x tho?

reef otter Oct 29, 2023, 1:41 AM

#

you mean on the first term?

ionic copper Oct 29, 2023, 1:41 AM

#

yeah i think

reef otter Oct 29, 2023, 1:42 AM

#

Because x-7/6 is one term you would multiply 6, but that would only cancel out the 6.

#

the /6*

#

Which leaves you with x-7

ionic copper Oct 29, 2023, 1:43 AM

#

okay

reef otter Oct 29, 2023, 1:44 AM

#

Question: (x-7)/6 + 3 = (x+1)/2

Multiply every term by 6
x-7+18=3x+3

Combine like terms
x+11=3x+3
-2x=-8

Divide to isolate the variable
x=4

#

I hope that helps

ionic copper Oct 29, 2023, 1:46 AM

#

how did u get -2x

reef otter Oct 29, 2023, 1:46 AM

#

-3x on both sides of the equation

#

3x-3x = 0

#

x-3x=-2x

#

(i gtg sorry bye :))

ionic copper Oct 29, 2023, 1:46 AM

#

bye

ionic copper Oct 29, 2023, 8:00 PM

#

@dense plover help me

#

pls

dense plover Oct 29, 2023, 8:00 PM

#

Hello

ionic copper Oct 29, 2023, 8:00 PM

#

can u help w the same question from yestreday

dense plover Oct 29, 2023, 8:00 PM

#

yes

ionic copper Oct 29, 2023, 8:01 PM

#

okay thanks

dense plover Oct 29, 2023, 8:01 PM

#

okay so what have you learned and how far you got in solving it?

ionic copper Oct 29, 2023, 8:01 PM

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i dont think i learned anything and i erased all my work of solving it

dense plover Oct 29, 2023, 8:02 PM

#

and about fractions?

#

you didn't learn anything?

ionic copper Oct 29, 2023, 8:03 PM

#

well ig i did learn some stuff

dense plover Oct 29, 2023, 8:03 PM

#

what exactly

ionic copper Oct 29, 2023, 8:03 PM

#

i have to cancle the denominator

dense plover Oct 29, 2023, 8:03 PM

#

okay and how to do that?

ionic copper Oct 29, 2023, 8:03 PM

#

and isolate the x

#

i have to times it by something

dense plover Oct 29, 2023, 8:04 PM

#

ionic copper yup

okay so do that on the question you had

ionic copper Oct 29, 2023, 8:04 PM

#

but idk what to times it by

dense plover Oct 29, 2023, 8:05 PM

#

you need to pick one that so both denominators are gone

ionic copper Oct 29, 2023, 8:05 PM

#

it would be 6 but how would it take away 2 tho?

#

bc its not the same number

dense plover Oct 29, 2023, 8:06 PM

#

6 is 3*2, so you cancel out 2 and you are left with 3

ionic copper Oct 29, 2023, 8:06 PM

#

okay

#

and i times 6 by x and the 7 too?

dense plover Oct 29, 2023, 8:08 PM

#

Why if you cancelled out the 6?

dense plover Oct 29, 2023, 8:08 PM

#

dense plover 6 is 3*2, so you cancel out 2 and you are left with 3

#

When you cancel out 6, it means that you divide 6 by 6 and get one so you just get 1 (x-7) which is same as x-7 because multiplying by 1 doesn't do anything

ionic copper Oct 29, 2023, 8:10 PM

#

oh ok

#

would it then be x-7+3=x + 1 + 3

dense plover Oct 29, 2023, 8:12 PM

#

no, when you multiply both halves you multiply everything in it that is separated by + or - , so you multiply 3 also

#

you only cancelled out 6 that was multiplying the x-7/ 6, but 3*6 stayed

ionic copper Oct 29, 2023, 8:13 PM

#

so i remove 3 then?

dense plover Oct 29, 2023, 8:13 PM

#

Why?

#

3 has no relation to the fraction

ionic copper Oct 29, 2023, 8:14 PM

#

wait can i send u a picture and u tell me what i did wrong

dense plover Oct 29, 2023, 8:14 PM

#

Yes

ionic copper Oct 29, 2023, 8:14 PM

#

dense plover Oct 29, 2023, 8:16 PM

#

#

You multiply both the fraction and the 3

ionic copper Oct 29, 2023, 8:17 PM

#

i thought i wouldnt multiply the fraction

dense plover Oct 29, 2023, 8:18 PM

#

You multiply it by 6 so you can divide by 6 (fraction is division by denominator) so it becomes x-7

ionic copper Oct 29, 2023, 8:18 PM

#

okay

dense plover Oct 29, 2023, 8:20 PM

#

also, what is the sign between 3 and (x+1) in second side?

ionic copper Oct 29, 2023, 8:20 PM

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equal sign

dense plover Oct 29, 2023, 8:21 PM

#

what

#

no I mean after you cancel out 2 in second half , what will stay?

ionic copper Oct 29, 2023, 8:22 PM

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3?

dense plover Oct 29, 2023, 8:22 PM

#

yes

#

and then what does that 3 do?

#

it multiplies (x+1)

#

by the way 3(x+1) means 3 * (x+1)

ionic copper Oct 29, 2023, 8:23 PM

#

ik

dense plover Oct 29, 2023, 8:24 PM

#

ionic copper

here you had +3 when it should have been 3(x+1)

#

okay so now try doing question again

ionic copper Oct 29, 2023, 8:24 PM

#

okay

#

is that part right?

dense plover Oct 29, 2023, 8:26 PM

#

Why didn't you multiply the 3 in first half?

dense plover Oct 29, 2023, 8:26 PM

#

dense plover no, when you multiply both halves you multiply everything in it that is separate...

a

ionic copper Oct 29, 2023, 8:27 PM

#

im confused

dense plover Oct 29, 2023, 8:28 PM

#

So x-7/6 and 3 are separated by + sign (or it could also be -) so you multiply both the x-7/6 and the 3

ionic copper Oct 29, 2023, 8:29 PM

#

what do i multiply it by

dense plover Oct 29, 2023, 8:30 PM

#

You are multiplying the entire equation by 6, so you multiply everything by 6

ionic copper Oct 29, 2023, 8:30 PM

#

okay

#

6x-42 + 18 = 3x + 3?

dense plover Oct 29, 2023, 8:32 PM

#

no, you canceled out 6 in the fraction

ionic copper Oct 29, 2023, 8:33 PM

#

u said i multiply everything by 6 tho

dense plover Oct 29, 2023, 8:33 PM

#

yes

ionic copper Oct 29, 2023, 8:33 PM

#

so how is it wrong

dense plover Oct 29, 2023, 8:33 PM

#

6(x-7) indeed 6x - 42

#

But then you don't have any other 6 to remove the denominator

ionic copper Oct 29, 2023, 8:34 PM

#

so i wouldnt multiply the equation then?

dense plover Oct 29, 2023, 8:35 PM

#

do you multiply it, however that 6 goes away to cancel the denominator, so in the end you are not actually multiplying it

#

and just get x-7

ionic copper Oct 29, 2023, 8:35 PM

#

okay

dense plover Oct 29, 2023, 8:38 PM

#

in this example, 7 was divided by 7 (since division is same as fraction, 5/7 is same as 5 : 7)

ionic copper Oct 29, 2023, 8:39 PM

#

i dont understand why we're dividing 7

#

oh wait nvm

dense plover Oct 29, 2023, 8:40 PM

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to remove the fraction , the denominator

#

Okay

#

try solving the question again

ionic copper Oct 29, 2023, 8:44 PM

#

okay

dense plover Oct 29, 2023, 8:45 PM

#

also what country are you from?

ionic copper Oct 29, 2023, 8:45 PM

#

canada

dense plover Oct 29, 2023, 8:45 PM

#

your native language is English?

ionic copper Oct 29, 2023, 8:45 PM

#

yeah

dense plover Oct 29, 2023, 8:45 PM

#

okay

#

https://youtu.be/GYNK6NDNEFk

YouTube

The Organic Chemistry Tutor

How To Solve Linear Equations With Fractions

This algebra video tutorial explains how to solve linear equations with fractions.

Access Full-Length Premium Videos: https://www.patreon.com/MathScienceTutor

Algebra For Beginners: https://ww...

▶ Play video

#

watch this video, I think it explains well

ionic copper Oct 29, 2023, 8:48 PM

#

okay

#

thanks

dense plover Oct 29, 2023, 9:00 PM

#

okay so have you understood some things?

ionic copper Oct 29, 2023, 9:01 PM

#

yeah but i still cant figure out how to do the question

dense plover Oct 29, 2023, 9:01 PM

#

Okay so start with removing denominators. How to do that?

ionic copper Oct 29, 2023, 9:01 PM

#

i multiply by 6

dense plover Oct 29, 2023, 9:02 PM

#

Okay do it on paper

ionic copper Oct 29, 2023, 9:02 PM

#

okay

#

i did what next

dense plover Oct 29, 2023, 9:03 PM

#

send image of what you did

ionic copper Oct 29, 2023, 9:04 PM

#

i just don’t know how to remove 2 tho

dense plover Oct 29, 2023, 9:05 PM

#

Why didn't you multiply 3?

ionic copper Oct 29, 2023, 9:05 PM

#

idk but ill do it

#

3 removes the 2 right?

dense plover Oct 29, 2023, 9:07 PM

#

You can't cancel out 6 in first side yet, you need to rewrite it as 6(x-7)/ + 3*6, otherwise the equation will go wrong because then you won't multiply 3

ionic copper Oct 29, 2023, 9:08 PM

#

okay

#

like that?

dense plover Oct 29, 2023, 9:10 PM

#

when you have brackets multiplied by something, you multiply all things in brackets that are separated with + or -

dense plover Oct 29, 2023, 9:11 PM

#

ionic copper like that?

#

And only then you can cancel out 6

#

because else +3 will not let you do that

ionic copper Oct 29, 2023, 9:12 PM

#

okay

#

would the next part be that?

dense plover Oct 29, 2023, 9:15 PM

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almost, you lost the 3 in second half

ionic copper Oct 29, 2023, 9:16 PM

#

do i replace 1 with three?

dense plover Oct 29, 2023, 9:16 PM

#

dense plover

explanation of second half (side)

#

only the image , not the text after it

ionic copper Oct 29, 2023, 9:17 PM

#

ok

dense plover Oct 29, 2023, 9:17 PM

#

so what will you get?

ionic copper Oct 29, 2023, 9:18 PM

#

idk

#

ill send u a pic

dense plover Oct 29, 2023, 9:19 PM

#

Okay

ionic copper Oct 29, 2023, 9:19 PM

#

dense plover Oct 29, 2023, 9:20 PM

#

it's correct until 2x + 18 = 10

ionic copper Oct 29, 2023, 9:21 PM

#

what did i do wrong

dense plover Oct 29, 2023, 9:22 PM

#

wait you also forgot to multiply X in second half by 3

ionic copper Oct 29, 2023, 9:22 PM

#

oh i didnt know i had to multiply x too

dense plover Oct 29, 2023, 9:22 PM

#

okay wait , explain to me why should both halves (sides) of equation be multiplied by the same number?

ionic copper Oct 29, 2023, 9:24 PM

#

idk

dense plover Oct 29, 2023, 9:24 PM

#

so it all stays equal

#

And so it doesn't go wrong

ionic copper Oct 29, 2023, 9:24 PM

#

oh

dense plover Oct 29, 2023, 9:24 PM

#

so you have to multiply both sides by 6

#

and then 6 can be replaced as 3 * 2 in the second side, so you get 3 * 2 (x +1)/2, and since it's multiplication and division (fraction) here, you can cancel out both 2's

#

because 2 : 2 = 1,

ionic copper Oct 29, 2023, 9:28 PM

#

so i write it like that?

dense plover Oct 29, 2023, 9:28 PM

#

Yes

ionic copper Oct 29, 2023, 9:28 PM

#

okay

dense plover Oct 29, 2023, 9:29 PM

#

what you do next?

ionic copper Oct 29, 2023, 9:30 PM

#

do i do that?

dense plover Oct 29, 2023, 9:30 PM

#

Yes

ionic copper Oct 29, 2023, 9:30 PM

#

okay

#

would that be the next part?

dense plover Oct 29, 2023, 9:33 PM

#

dense plover a

my discord is working wrong

#

why it put my message here?

ionic copper Oct 29, 2023, 9:34 PM

#

no clue

dense plover Oct 29, 2023, 9:34 PM

#

I meant to say what is 3 * (x+1)?

dense plover Oct 29, 2023, 9:35 PM

#

ionic copper would that be the next part?

You canceled out 2, but 3* stayed , so you multiply X+1 by 3

ionic copper Oct 29, 2023, 9:35 PM

#

oh ok

dense plover Oct 29, 2023, 9:35 PM

#

dense plover Yes

wait I was wrong there is an error

#

so in second side it will be 3x + 3

ionic copper Oct 29, 2023, 9:36 PM

#

ok

dense plover Oct 29, 2023, 9:36 PM

#

dense plover You canceled out 2, but 3* stayed , so you multiply X+1 by 3

because this

#

now what will you get?

ionic copper Oct 29, 2023, 9:37 PM

#

that?

dense plover Oct 29, 2023, 9:38 PM

#

yes but please remember that we do with x like with normal number, so when you want to remove the x from a side , you do add x with the opposite sign

#

So here you wanted to remove 3x from the second side

ionic copper Oct 29, 2023, 9:39 PM

#

oh ok lemme re-write it

dense plover Oct 29, 2023, 9:39 PM

#

so you do like you did with 7

#

Okay

ionic copper Oct 29, 2023, 9:41 PM

#

like that?

dense plover Oct 29, 2023, 9:43 PM

#

why you +3x to first side? You do -3x to both sides otherwise the equation will no longer be correct and sides won't be equal

ionic copper Oct 29, 2023, 9:43 PM

#

oh ok

dense plover Oct 29, 2023, 9:44 PM

#

okay remember that you remove X like any normal number, just like you did with 7 in this equation

ionic copper Oct 29, 2023, 9:45 PM

#

would it then be 2x?

dense plover Oct 29, 2023, 9:45 PM

#

x-3x = ?

ionic copper Oct 29, 2023, 9:46 PM

#

-2x

dense plover Oct 29, 2023, 9:46 PM

#

yes

ionic copper Oct 29, 2023, 9:46 PM

#

-2x - 7 +18 = 3?

dense plover Oct 29, 2023, 9:47 PM

#

yes

ionic copper Oct 29, 2023, 9:47 PM

#

i would then add 7 to -7 and 3 right?

dense plover Oct 29, 2023, 9:47 PM

#

yes

ionic copper Oct 29, 2023, 9:48 PM

#

-2x+18=10?

dense plover Oct 29, 2023, 9:48 PM

#

yes thats right

ionic copper Oct 29, 2023, 9:48 PM

#

i then add the 18 and 10 together?

dense plover Oct 29, 2023, 9:48 PM

#

why add?

#

to remove 18, you do -18 to both sides

ionic copper Oct 29, 2023, 9:49 PM

#

oh ok

dense plover Oct 29, 2023, 9:49 PM

#

don't let the -2x confuse you

ionic copper Oct 29, 2023, 9:50 PM

#

-2x = -8?

dense plover Oct 29, 2023, 9:50 PM

#

yes

#

now divide both sides by -2

#

(because -2 is the one with x)

ionic copper Oct 29, 2023, 9:51 PM

#

okay

#

so its 4 then?

dense plover Oct 29, 2023, 9:51 PM

#

Yes

#

you solved it

ionic copper Oct 29, 2023, 9:51 PM

#

no way after so long

#

thanks

dense plover Oct 29, 2023, 9:52 PM

#

also, you might want to find a paid tutor in real life and ask all the questions and things you don't understand to that tutor

#

because its hard to explain in internet

ionic copper Oct 29, 2023, 9:52 PM

#

yeah im getting a tutor soon

dense plover Oct 29, 2023, 9:53 PM

#

dense plover because its hard to explain in internet

And it's way faster and easier in real life

ionic copper Oct 29, 2023, 9:53 PM

#

yuh

dense plover Oct 29, 2023, 9:53 PM

#

ionic copper yeah im getting a tutor soon

good👍

dense plover Oct 29, 2023, 9:56 PM

#

ionic copper yuh

also, when you do get a tutor ask about all things you don't understand and don't stop asking until you finally understand, because math is built on logic and you can't really use logic if you don't understand things

ionic copper Oct 29, 2023, 9:57 PM

#

okok thanks

dense plover Oct 29, 2023, 9:59 PM

#

👍,
bye👋

ionic copper Oct 29, 2023, 9:59 PM

#

byebye

#

.close

#help pls