Question

How do you solve for y in `3x + y = -6`?

Answer 1

`y=-3x-6`

Explanation:

The objective is to have just one `y` and for it to be on one side of = and everything else on the other side.

Given:`" "color(brown)(3x+y=-6)`

Subtract `color(blue)(3x)` from both sides

`color(brown)(3xcolor(blue)(-3x)+y=-6color(blue)(-3x))`

But `3x-3x=0`

`0+y=-3x=6`

`y=-3x-6`

Answer 2

y = -6 - 3x

Explanation:

We want the y term to stay where it is on the left side and all other terms to be on the right side.

To achieve this subtract 3x from both sides.

`rArr cancel(3x)+y-cancel(3x)=-6-3x`

`rArr y=-6-3x`