–4x + y = 11 –8x + 4y = 12

To solve the system of equations, we can use the method of substitution. First, let's solve the first equation for y:

-4x + y = 11

y = 4x + 11

Now, substitute this expression for y in the second equation:

-8x + 4(4x + 11) = 12

-8x + 16x + 44 = 12

8x = -32

x = -4

Now, substitute this value of x into the first equation to find y:

-4(-4) + y = 11

16 + y = 11

y = -5

Therefore, the solution to the system of equations is x = -4 and y = -5.