solve the system of equations 4x - 8y=-36 -6x+y=32

Answer 1

To solve this system of equations, let's first rewrite them in standard form:

4x - 8y = -36 (1)
-6x + y = 32 (2)

Next, let's solve equation (2) for y:

y = 32 + 6x

Now, substitute this expression for y into equation (1):

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

Now that we have found the value of x, let's substitute it back into equation (2) to find y:

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

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