Question

How do you solve `x -7y=13` for `y`?

Answer 1

`y = (x-13)/7`

Explanation:

To solve for `y`, rearrange the current equation so that `y` is by itself on one side of the `=` sign.

`x - 7y = 13`

`x = 13 + 7y`

`x - 13 = 7y`

`(x-13)/7 = y`

So `y` is equivalent to `(x-13)/7`

Answer 2

`y=-1/7(13-x)`

Explanation:

`"leave - 7y on the left and all other terms on the right"`

`"subtract x from both sides"`

`cancel(x)cancel(-x)-7y=13-x`

`rArr-7y=13-x`

`"divide both sides by "-7`

`(cancel(-7) y)/cancel(-7)=(13-x)/-7`

`rArry=-1/7(13-x)`