Question

Solve the system of equations.
2x + 8y = 8
2x - 4y = -16 (1 point)

Answer 1

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

First, we will multiply the second equation by 2 so that the coefficients of x in both equations are the same:

2(2x - 4y) = 2(-16)
4x - 8y = -32

Now we have the system of equations:
2x + 8y = 8
4x - 8y = -32

Adding the two equations together, we get:
6x = -24
x = -4

Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use the first equation:

2(-4) + 8y = 8
-8 + 8y = 8
8y = 16
y = 2

Therefore, the solution to the system of equations is x = -4 and y = 2.