Question

4x - 8y = -36
-6x + y = 32

Answer 1

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

We will solve one equation for one variable and then substitute it into the other equation. Let's 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 that we have the value of x, we can substitute it back into the second equation 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.