Question

solve the system of equations.
2x + 8y = 8
2x - 4y = -16
(_,_)
show your work

Answer 1

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

Let's use the elimination method.

2x + 8y = 8
2x - 4y = -16

We can multiply the second equation by 2 to make the coefficients of x equal:

2x + 8y = 8
4x - 8y = -32

Now, we can add the two equations together:

(2x + 8y) + (4x - 8y) = 8 - 32
6x = -24
x = -4

Now, we substitute x back into one of the original equations to solve for y:

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

Therefore, the solution to the system of equations is (-4, 2).