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

Answer 1

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

Start with the second equation:
-6x + y = 32
Rearrange it to solve for y:
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 that we have found the value of x, we can substitute it back into either equation to solve for y. Let's use 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.