Question

-2x+4y=8 solve for y

Answer 1

Whenever you have these kinds of expressions

You will get the answer in terms of the other variable.

So what you've got to do is to keep the y on one side [RHS preferrably]

And then Take ALL OTHER TERMS TO the LHS.

Getting me at this? :)

Answer 2

-2x+4y=8

4y = 8 + 2x [ADDING 2x to both sides to get rid of it in RHS]

And now we have to get rid of the 4 in the RHS.

So divide BOTH sides by 4 for it to REMAIN equal
4y/4 = (2x + 8)/4
y = x/2 + 2

Understood? :)

Answer 3

I think so

Answer 4

Let us take another example

x + 2y - 3 = 0

And now we have to get x here [So, now we know that we'd get it in terms of y]

x = +3 - 2y

This is EXACTLY like solving a Simple equation! :D

Got it? :)

Answer 5

thank you yes I understand

Answer 6

:)

Answer 7

can you help with one more

Answer 8

When solving for such equations, you basically do the opposite of PEMDAS, taking care of the AS (addition/subtraction) first, then the MD (multiplication/division)

so if we were to do so with this equation:
\[-2x+4y=8\]what we are trying to do is get \(y\) by itself
take away all the extra terms from around the \(y\) term:\[-2x+2x+4y=8+2x\]\[4y=8+2x\]we still have a \(4\) tagged to the \(y\) and since it's being multiplied we would simply divide to remove it:\[{4y\over4}={8\over4}+{2x\over4}\]\[y=2+{1\over2}x\]

Answer 9

Yummydum - impresssive!

Answer 10

Thanks, @Preetha

Answer 11

can some help with this one as well 6x-3y=-12 solve for y

Answer 12

you do the same, opposite of PEMDAS:\[6x-3y=-12\]get rid of everything around the \(y\) term first :)
what do you get?

Answer 13

Firstly you can divide the whole equation by 3
Just for the sake of simplicity
So it becomes 2x - y = -4

Now it is very simple to find y

Take y to a preferable side [LHS]

2x + 4 = y
OR
y = 2x + 4

SOLVE ALL THESE TYPES QUESTIONS BY THE SIMILAR METHODS!! :D

Understood? :)

Answer 14

will it be 3=12+6x

Answer 15

I meant 3y=-12+6x

Answer 16

Yes 3y = 12 + 6x

And then to remove the 3 from the y

We'd have to DIVIDE the whole equation by 3

To get the final answer of y, interms of x.

Answer 17

yes and then you would divide it all by \(3\) to be left with just \(y\) :)

Answer 18

So Long....

Answer 19

What's so long? @AkashdeepDeb

Answer 20

It is a way of saying Bye (I guess).
So Long and thanks for all the fish.... :D

Answer 21

oh lol