#do my maths homework for me now plz

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past trail
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gusty gust
# past trail

ok think about this. If we have two things that are equal to each other, can we add or subtract the same number from each side of the equality and preserve an equality?

past trail
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wait i understand

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it’s like a seesaw

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ok i solved it it was 2

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+close

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# past trail +close
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gusty gust
# past trail it’s like a seesaw

i’m not sure what u mean but the key idea is that if two numbers are equal then adding the same thing on both sides (or subtracting equivalently) will not change the equality. Similarly multiplying (or dividing) by the same number does not change the inequality.

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So let’s say a=b then a+c=b+c or ac=bc (similarly a/c=b/c)

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If this feels weird then check it out yourself. We have the equality:
4=4 which is always true, try adding any same number on both sides (or subtracting multiplying or dividing) u will see that the equality still holds.

lucid summit
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if y = 1 then the equation is way heavier on the left side

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if y = 3 its way heavier on the right

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y = 2 keeps it balanced

past trail
gusty gust
# past trail how do i know when to add, subtract multiply or divide

Well your goal is always to isolate the unknown variable. For example, if you have:
x+4=2x then you need to determine what steps you need to take to get x isolated. You want your equation to have the form x=something. So for our example:
x+4=2x we can see that in order to isolate x, we need to remove it from either the left, or the right hand side. It doesn’t matter if we choose to remove it from left or right. Let’s try to remove it from the left hand side first. On the left hand side we have x+4, in order to remove x, it’s clear that we must subtract x, so the equation will become
x-x+4=2x-x therefore 0+4=x therefore x=4.

Now let’s try to do remove x from the right hand side. We have 2x, therefore to remove it we need to subtract 2x, thus we will get
x-2x+4=2x-2x thus -x+4=0 therefore x=4 again.

As a general rule you should remember that your goal is to isolate x on one side (doesn’t matter which you can determine for each case what you feel is easier) and the actual numbers (1,4,7 or whatever it is) on the other side.

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this example covered only subtraction/multiplication though

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if you have for example 3x=7x+3 then you first apply the rules we talked about above (meaning you try to add/subtract in order to have x only on one side) so let’s remove 7x from the right hand side, we will have:
3x-7x=7x-7x+3=>-4x=3
now we have x only on one side, but it is multiplied by something else. But because as i said the equality doesn’t change by multiplying/dividing by the same number, you can simply divide both sides by the number that x is multiplied with (ie 4), therefore
4x/4=3/4 but 4/4=1 so x=3/4

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I should also note that it may help you to not think about addition and subtraction as separate operations, it may help you to think that subtraction is just the addition of a negative number. For example 4-3=4+(-3).
Similarly multiplication and addition are basically the same thing x/2 for example is the same as x*1/2.

gusty gust
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So yeah ig that pretty much it, try to isolate x on one side and the numbers on the other and when x is multiplied/divided by a number you divide/multiply both sides by that same number in order to isolate x

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Given what i’ve told you above, can you solve
10x+6=3x

past trail
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uhhh so

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idek where to start

past trail
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or maybe 3x

past trail
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nah idk

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i could’ve fucking swore there was a division sign on my keyboard tf

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ok wait

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so then do i divide by 6 maybe

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that doesn’t work

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maybe if i try adding 3x

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10x + 6 = 3x

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  • 10 on both sides
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20x + 6 = 13x

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i don’t get it

eager spade
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y = 2

lucid summit
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nick

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nick you gave a more difficult question

lucid summit
eager spade
gusty gust
gusty gust
jade plaza
lucid summit
lucid summit
eager spade
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it is obvious

gusty gust
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doesn’t matter what that something is

lucid summit
solar runeBOT
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@past trail

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eager spade
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130=220?

lucid summit
eager spade