Question

Solve equation for y Double pts

Answer 1

`y=8+12x`

Explanation:

So we have the equation:

`3x-(1)/(4)y=-2`

And we want to solve the equation for y.

To do so, we need to isolate the y-variable.

So, subtract 3x from both sides:

`(3x-(1)/(4)y)-3x=(-2)-3x`

On the left, the terms cancel:

`-(1)/(4)y=-2-3x`

To isolate the left, multiply both sides by -4 (the reciprocal of -1/4):

`-4(-(1)/(4)y)=-4(-2-3x)`

The left cancel:

`y=-4(-2-3x)`

On the right, distribute:

`y=8+12x`

And we are done.