equations with fractions | Mathematics | Page 1

languid thunder Oct 25, 2023, 7:07 PM

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i need help with a couple of questions plz. idk what else i would write for question d, pls help me

grim badgeBOT Oct 25, 2023, 7:07 PM

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glacial parrot Oct 25, 2023, 7:12 PM

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Didn't you already multiply x + 1 by 3 to get it out of the denominator?

south marsh Oct 25, 2023, 7:44 PM

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wait X = 20 is an answer... why putting 3 in denominator after multiplyin with 7

languid thunder Oct 25, 2023, 7:56 PM

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glacial parrot Didn't you already multiply x + 1 by 3 to get it out of the denominator?

tbh idk i feel like i did it wrong

languid thunder Oct 25, 2023, 7:56 PM

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south marsh wait X = 20 is an answer... why putting 3 in denominator after multiplyin with 7

wdym? and how did u get 20

languid thunder Oct 25, 2023, 7:57 PM

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south marsh wait X = 20 is an answer... why putting 3 in denominator after multiplyin with 7

oh nvm i see whatu mean. nvm i actually dont know what u mean

quick mulch Oct 25, 2023, 7:59 PM

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glacial parrot Oct 25, 2023, 8:00 PM

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oh

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wait

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little mistakes

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mb

languid thunder Oct 25, 2023, 8:00 PM

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quick mulch

i dont understand

quick mulch Oct 25, 2023, 8:01 PM

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What exactly don’t you understand

languid thunder Oct 25, 2023, 8:01 PM

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everything

quick mulch Oct 25, 2023, 8:01 PM

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Which step?

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Ehm okey

languid thunder Oct 25, 2023, 8:02 PM

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is that 1.3 next to the 7

quick mulch Oct 25, 2023, 8:02 PM

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No it means I multiplied the whole equation with 3

languid thunder Oct 25, 2023, 8:02 PM

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oh

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how does x + 1 = 21

quick mulch Oct 25, 2023, 8:03 PM

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well you need to find a number for x that solves the equation

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and if you multiply (x+1)/3 with 3

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you get x+1

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but you also need to multiply the other side with three, otherwise the equation isnt equal anymore

languid thunder Oct 25, 2023, 8:05 PM

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im confused

quick mulch Oct 25, 2023, 8:06 PM

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ok what confuses you

languid thunder Oct 25, 2023, 8:06 PM

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what u said

quick mulch Oct 25, 2023, 8:06 PM

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multiplying the equation?

languid thunder Oct 25, 2023, 8:06 PM

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yeah

quick mulch Oct 25, 2023, 8:08 PM

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so when you see an equation with a fraction, its often a good idea to solve the fraction first

languid thunder Oct 25, 2023, 8:08 PM

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and how do i slove the fraction

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oh wait wouldnt i divide

quick mulch Oct 25, 2023, 8:09 PM

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well what equals 1/3 multiplied with 3 ?

languid thunder Oct 25, 2023, 8:09 PM

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idk 1/6

quick mulch Oct 25, 2023, 8:10 PM

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if you have 3 1/3 cakes how many do you have?

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you got (1)

languid thunder Oct 25, 2023, 8:11 PM

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oh

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how

quick mulch Oct 25, 2023, 8:11 PM

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lets take a cake and cut it in three pieces

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languid thunder Oct 25, 2023, 8:12 PM

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okay

quick mulch Oct 25, 2023, 8:12 PM

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and they all have the same size

languid thunder Oct 25, 2023, 8:12 PM

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yeah

quick mulch Oct 25, 2023, 8:12 PM

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every of these 3 pieses are 1/3 of the whole cake right?

languid thunder Oct 25, 2023, 8:12 PM

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yeah

quick mulch Oct 25, 2023, 8:13 PM

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so if you take all three of your pieces together, you get a whole cake

languid thunder Oct 25, 2023, 8:13 PM

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yup

quick mulch Oct 25, 2023, 8:13 PM

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means three times 1/3 cake is 1 cake

languid thunder Oct 25, 2023, 8:14 PM

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okay

quick mulch Oct 25, 2023, 8:14 PM

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and that same principle is used for fractions

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in your equation (x+1) got divided into# three pieces

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and if you multiply it with three, you get only x+1

languid thunder Oct 25, 2023, 8:15 PM

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ohh yeah

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and then u would have to do 7x3 right

quick mulch Oct 25, 2023, 8:15 PM

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yes

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because the equation has to be correct

languid thunder Oct 25, 2023, 8:15 PM

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yeah

quick mulch Oct 25, 2023, 8:16 PM

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otherwise the other side will be three times bigger

languid thunder Oct 25, 2023, 8:16 PM

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but how would i write that down in proper form

quick mulch Oct 25, 2023, 8:16 PM

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i always wrote it down like in the example i send before, no teacher ever complained

languid thunder Oct 25, 2023, 8:17 PM

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okok

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thank you

quick mulch Oct 25, 2023, 8:17 PM

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great

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youre welcome, im glad i could help you 🙂

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if you dont have any further questions, you can type .solved

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so everyone knows we finished here

languid thunder Oct 25, 2023, 8:18 PM

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i have more questions

quick mulch Oct 25, 2023, 8:18 PM

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oh okey

languid thunder Oct 25, 2023, 8:18 PM

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but ima finish up with d first

quick mulch Oct 25, 2023, 8:18 PM

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ok

languid thunder Oct 25, 2023, 8:22 PM

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how would i do that

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@quick mulch

quick mulch Oct 25, 2023, 8:24 PM

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ok for this one add 8 to both sides

languid thunder Oct 25, 2023, 8:24 PM

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okay

quick mulch Oct 25, 2023, 8:25 PM

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and then solve the fraction like we did before

languid thunder Oct 25, 2023, 8:25 PM

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ok

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i got 20

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i think i did it wrong

quick mulch Oct 25, 2023, 8:27 PM

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you can always check yourself by inserting your solution into x, if the equation is correct, you made it right

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ok send me what you did

languid thunder Oct 25, 2023, 8:28 PM

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quick mulch Oct 25, 2023, 8:28 PM

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ok that now how we solved the fraction before

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you got x/2 = 22

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thats correct

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you got two half x's so how do you get a whole x?

languid thunder Oct 25, 2023, 8:29 PM

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do we add 2

quick mulch Oct 25, 2023, 8:30 PM

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not quite, lets say one whole cake = x

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and you got a half x

languid thunder Oct 25, 2023, 8:30 PM

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okay

quick mulch Oct 25, 2023, 8:30 PM

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think what we did before with the fraction

languid thunder Oct 25, 2023, 8:31 PM

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do we multiply it by something

quick mulch Oct 25, 2023, 8:31 PM

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yes

languid thunder Oct 25, 2023, 8:31 PM

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oh so i multiply it by 2 then

quick mulch Oct 25, 2023, 8:31 PM

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yes correct

languid thunder Oct 25, 2023, 8:32 PM

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okok

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wait why do i multiply

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wouldnt i need to isolate the x?

quick mulch Oct 25, 2023, 8:33 PM

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yes, that what your doing by multiplying with 2

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then you have x = 2*22

languid thunder Oct 25, 2023, 8:33 PM

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how is that isolating

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cuz it would then be x/4

quick mulch Oct 25, 2023, 8:34 PM

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no, it would be x/4 if you divide with 2

languid thunder Oct 25, 2023, 8:34 PM

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i thought we multiplying tho

quick mulch Oct 25, 2023, 8:35 PM

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we are!

languid thunder Oct 25, 2023, 8:35 PM

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u just said we dividing

quick mulch Oct 25, 2023, 8:35 PM

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if you mulitply x/2 with 2, you get x

languid thunder Oct 25, 2023, 8:35 PM

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how is that possible

quick mulch Oct 25, 2023, 8:35 PM

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think about the cake example

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lets say the whole cake is x

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and you got an half cake, means a half x

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to get a full cake, you need 2 half cakes

languid thunder Oct 25, 2023, 8:36 PM

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yeah

quick mulch Oct 25, 2023, 8:36 PM

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yyes

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and if we bring that into the equation x/2 means you a half x

languid thunder Oct 25, 2023, 8:37 PM

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ohhhh

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i think i understadn now

quick mulch Oct 25, 2023, 8:38 PM

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okey, so whats the solution?

languid thunder Oct 25, 2023, 8:38 PM

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so it would be x = 44 then

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cuz we doing 22x2

quick mulch Oct 25, 2023, 8:38 PM

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yes nice correct

languid thunder Oct 25, 2023, 8:40 PM

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i have another question

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quick mulch Oct 25, 2023, 8:41 PM

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first step is correct

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then solve the fraction first

languid thunder Oct 25, 2023, 8:42 PM

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would i multiply the fraction again

quick mulch Oct 25, 2023, 8:42 PM

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with the denominator(the number under the 2x)

languid thunder Oct 25, 2023, 8:42 PM

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okay

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i got the question wrong again

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i got 106

quick mulch Oct 25, 2023, 8:45 PM

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9*12 is 108 btw

languid thunder Oct 25, 2023, 8:46 PM

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ik

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but then i did 108-2

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so i can isolate the x from the 2

quick mulch Oct 25, 2023, 8:47 PM

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ok wait now you got two times x

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means if you want to get one, you need to get the half from both sides

languid thunder Oct 25, 2023, 8:48 PM

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imm confusedd

quick mulch Oct 25, 2023, 8:49 PM

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well the problem is, that you have 2x =108

languid thunder Oct 25, 2023, 8:50 PM

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why is it x+2

quick mulch Oct 25, 2023, 8:50 PM

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its not

languid thunder Oct 25, 2023, 8:50 PM

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then what would it be

quick mulch Oct 25, 2023, 8:51 PM

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well you need to divide by 2 to get one x

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otherwise its not equal

languid thunder Oct 25, 2023, 8:51 PM

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oh ok

short turret Oct 25, 2023, 8:52 PM

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2x because 2 multiplied by x

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otherwise it would be 2+x

languid thunder Oct 25, 2023, 8:52 PM

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okay

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plz

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help me

hazy light Oct 25, 2023, 8:58 PM

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good start

languid thunder Oct 25, 2023, 8:58 PM

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thx

short turret Oct 25, 2023, 8:58 PM

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yes

hazy light Oct 25, 2023, 8:58 PM

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now how would you get rid of that fraction

languid thunder Oct 25, 2023, 8:58 PM

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idk

quick mulch Oct 25, 2023, 8:58 PM

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just do it like before

languid thunder Oct 25, 2023, 8:58 PM

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we can do 5x5

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to get rid of 5 right?

quick mulch Oct 25, 2023, 8:58 PM

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yes

languid thunder Oct 25, 2023, 8:59 PM

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and we also do it to the 6

quick mulch Oct 25, 2023, 8:59 PM

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yes

short turret Oct 25, 2023, 8:59 PM

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so what would that get you

languid thunder Oct 25, 2023, 8:59 PM

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2(k-3)=30

short turret Oct 25, 2023, 8:59 PM

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then whats the next step

languid thunder Oct 25, 2023, 9:00 PM

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we needa do 2xk and 2x-3 i think

short turret Oct 25, 2023, 9:00 PM

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yes you expand the brackets

languid thunder Oct 25, 2023, 9:00 PM

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okay

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what would i do now

quick mulch Oct 25, 2023, 9:02 PM

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make k stand alone like before

short turret Oct 25, 2023, 9:03 PM

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you always want k on its own

languid thunder Oct 25, 2023, 9:03 PM

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would i divide 2 by 2

short turret Oct 25, 2023, 9:04 PM

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wait so you get 2k-6=30 right

languid thunder Oct 25, 2023, 9:04 PM

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yeah

short turret Oct 25, 2023, 9:04 PM

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so you could do that

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but i normally tend to do +6 and get it to the other side of the equation

languid thunder Oct 25, 2023, 9:05 PM

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yeah thats what i do too

short turret Oct 25, 2023, 9:05 PM

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so if u divide by 2, what would u get

languid thunder Oct 25, 2023, 9:05 PM

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0?

short turret Oct 25, 2023, 9:05 PM

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2k-6=30

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if u divide the equation by 2 what would you get

languid thunder Oct 25, 2023, 9:06 PM

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idk

short turret Oct 25, 2023, 9:06 PM

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so you when you divide by 2 you want k without the 2 right

languid thunder Oct 25, 2023, 9:06 PM

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yeha so i would do 2/2

short turret Oct 25, 2023, 9:06 PM

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which would get you

languid thunder Oct 25, 2023, 9:07 PM

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wait but if i did 2/2 wouldnt i have to do it to the 36 aswell?

short turret Oct 25, 2023, 9:07 PM

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yes because 2k=36

languid thunder Oct 25, 2023, 9:07 PM

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yuh then it would be k =18 right?

short turret Oct 25, 2023, 9:07 PM

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bravo

languid thunder Oct 25, 2023, 9:08 PM

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yesss i gotit

hazy light Oct 25, 2023, 9:09 PM

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nice

languid thunder Oct 25, 2023, 9:11 PM

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help plz

quick mulch Oct 25, 2023, 9:12 PM

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its almost correct

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you also need to multiply the -18 with the 5 in step 2

languid thunder Oct 25, 2023, 9:13 PM

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ohhhh

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so would that be -90?

quick mulch Oct 25, 2023, 9:13 PM

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yep

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and the bring all the x's on one side

languid thunder Oct 25, 2023, 9:14 PM

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how do i do that

quick mulch Oct 25, 2023, 9:14 PM

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what do you have now?

languid thunder Oct 25, 2023, 9:14 PM

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quick mulch Oct 25, 2023, 9:15 PM

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yes, do you do -10x on both sides

languid thunder Oct 25, 2023, 9:15 PM

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why do i do that

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nvm

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i got -10x = -90

quick mulch Oct 25, 2023, 9:16 PM

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almost

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dont forget the one x that already exists on the left side

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means 1x-10x = -90

languid thunder Oct 25, 2023, 9:17 PM

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where did the -90 go

quick mulch Oct 25, 2023, 9:17 PM

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ofc

languid thunder Oct 25, 2023, 9:17 PM

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ohh

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is that the end of the equation?

quick mulch Oct 25, 2023, 9:19 PM

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not yet

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what do you have now?

languid thunder Oct 25, 2023, 9:19 PM

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1x-10x = -90

quick mulch Oct 25, 2023, 9:20 PM

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if you subtract 10x from one x you get -9x

languid thunder Oct 25, 2023, 9:21 PM

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so i would then write -9x = -90?

quick mulch Oct 25, 2023, 9:21 PM

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yup, and then last but not least make x stand alone like before

languid thunder Oct 25, 2023, 9:22 PM

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so i would do -9x/9

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and -90/9

quick mulch Oct 25, 2023, 9:22 PM

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yes

languid thunder Oct 25, 2023, 9:22 PM

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okay thanks

quick mulch Oct 25, 2023, 9:23 PM

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and at the end remove the minus

languid thunder Oct 25, 2023, 9:23 PM

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okok

quick mulch Oct 25, 2023, 9:24 PM

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so whats the solution?

languid thunder Oct 25, 2023, 9:24 PM

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x = 10?

quick mulch Oct 25, 2023, 9:24 PM

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yup good job

languid thunder Oct 25, 2023, 9:24 PM

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thx

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help

quick mulch Oct 25, 2023, 9:31 PM

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-3y*2 is ?

languid thunder Oct 25, 2023, 9:32 PM

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-6y

quick mulch Oct 25, 2023, 9:32 PM

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yup

languid thunder Oct 25, 2023, 9:32 PM

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whats next

quick mulch Oct 25, 2023, 9:32 PM

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so you have y = 28-6y

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then bring the y on one side again like before

languid thunder Oct 25, 2023, 9:32 PM

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oh yeah

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so y-6y=28?

quick mulch Oct 25, 2023, 9:34 PM

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to remove -6y from the right side you have to add +6y to both sides

languid thunder Oct 25, 2023, 9:35 PM

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y=34?

quick mulch Oct 25, 2023, 9:35 PM

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you got 7y = 28

languid thunder Oct 25, 2023, 9:35 PM

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im confused

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why 7y

quick mulch Oct 25, 2023, 9:36 PM

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well if you have y = 28-6y you need to add 6y on both sides

languid thunder Oct 25, 2023, 9:37 PM

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yeah i would add 6y to -6y and 28 but why y aswell?

quick mulch Oct 25, 2023, 9:38 PM

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in step two, i added 6y on both sides

languid thunder Oct 25, 2023, 9:40 PM

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wouldnt i move -6y to the other side tho

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quick mulch Oct 25, 2023, 9:40 PM

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you cant just move parts of the equation around

languid thunder Oct 25, 2023, 9:41 PM

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u said the y has to be on one side

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like all of them

quick mulch Oct 25, 2023, 9:41 PM

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yes

languid thunder Oct 25, 2023, 9:41 PM

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thats what i did

quick mulch Oct 25, 2023, 9:41 PM

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thats right

languid thunder Oct 25, 2023, 9:41 PM

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so how is it 7y

quick mulch Oct 25, 2023, 9:41 PM

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yup, but you need to add the opposide of whats standing there

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if you have -6y , you need to add 6y

languid thunder Oct 25, 2023, 9:42 PM

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yeah so then if i added 6y to -6y why do i do it with y

quick mulch Oct 25, 2023, 9:42 PM

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for 6y you need to subtract -6y on both sies

languid thunder Oct 25, 2023, 9:42 PM

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yeha

quick mulch Oct 25, 2023, 9:43 PM

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because you want it to stand alone

languid thunder Oct 25, 2023, 9:43 PM

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thats what i did tho

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it was y-6y so i added +6y so the y can be alone

quick mulch Oct 25, 2023, 9:43 PM

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yea, but 6y is not the same as 6

languid thunder Oct 25, 2023, 9:43 PM

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im so confued

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what would the equation equal?

quick mulch Oct 25, 2023, 9:45 PM

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Ehm

languid thunder Oct 25, 2023, 9:45 PM

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wouldnt it be y = 4?

quick mulch Oct 25, 2023, 9:45 PM

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One sec

languid thunder Oct 25, 2023, 9:45 PM

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okay

quick mulch Oct 25, 2023, 9:45 PM

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Yes

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4 is correct

languid thunder Oct 25, 2023, 9:45 PM

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okay but i dunno how to get to 4

quick mulch Oct 25, 2023, 9:46 PM

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Should I stream it real quick?

languid thunder Oct 25, 2023, 9:47 PM

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yuh if u want

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.solved

#equations with fractions