solve the system of equations.

4x-8y=-36
-6x+y=32

To solve the system of equations, we can use either substitution or elimination method.

Using substitution method:
-6x + y = 32 --> y = 6x + 32

Substitute y = 6x + 32 into the first equation:
4x - 8(6x + 32) = -36
4x - 48x - 256 = -36
-44x = 220
x = -5

Substitute x = -5 into the second equation:
-6(-5) + y = 32
30 + y = 32
y = 2

Therefore, the solution to the system of equations is x = -5 and y = 2.