Solve the system of equations. 4x - 8y = - 36; - 6x + y = 32 (1 point )

To solve the system of equations:

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

We can solve it by first isolating one of the variables in either of the equations. Let's isolate y in the second equation:

y = 32 + 6x

Now we can substitute this expression for y into the first equation:

4x - 8(32 + 6x) = -36
4x - 256 - 48x = -36
-44x = 220
x = -5

Now that we have found x, we can substitute it back into the second equation to find y:

-6(-5) + y = 32
30 + y = 32
y = 2

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