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 either the substitution method or the elimination method.

Let's use the substitution method in this case.

From the second equation, we can solve for y:

y = 32 + 6x

Now, substitute this expression for y into the first equation:

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

Now, substitute x = -5 back into the equation y = 32 + 6x:

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

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