Solve the system of equations.

4x−8y=−36
−6x+y=32

1 answer

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

Let's solve the system using the method of substitution:

We can solve the second equation for y:
-6x + y = 32
y = 6x + 32

Now we substitute this value of y into the first equation:
4x - 8(6x + 32) = -36
4x - 48x - 256 = -36
-44x - 256 = -36
-44x = 220
x = -5

Now substitute this value of x back into the equation y = 6x + 32:
y = 6(-5) + 32
y = -30 + 32
y = 2

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