2x+6y=-6

4x+-3y=-12

what is y and what is x?

X = - 3

Y=0

Solve for x in your first equation.

This ends up being:

X=-3y-3

Take this new equation and plug it in for x into your original 2nd equation.

It'll look like

4 (-3y-3) - 3y=-12

-12y-12-3y=-12

-15y-12=-12

-15y=0

Y=0

Take your new y value and input it into the original equation - either one will work, but I chose the second one.

4x-3 (0) = -12

4x=-12

X=-3