Solve the system of equations
2x + 8y = 8
2x - 4y = -16
To solve this system of equations, we will use the method of substitution.
First, we will solve one of the equations for either x or y in terms of the other variable. Let's solve the first equation for x:
2x + 8y = 8
2x = 8 - 8y
x = 4 - 4y
Now, we will substitute x = 4 - 4y into the second equation:
2(4 - 4y) - 4y = -16
8 - 8y - 4y = -16
8 - 12y = -16
-12y = -24
y = 2
Now that we have found the value of y, we can substitute it back into x = 4 - 4y to find the value of x:
x = 4 - 4(2)
x = 4 - 8
x = -4
Therefore, the solution to the system of equations is x = -4 and y = 2.