Solve the system of equations.

Question

4x−8y=−36 −6x+y=32 (1 point) (, )

Answer 1

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

First, isolate y in the second equation:
-6x + y = 32
y = 6x + 32

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

Now, substitute the 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
y = 2