Question

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

Answer 1

First, let's rewrite the system of equations:

2x + 8y = 8 (1)
2x - 4y = -16 (2)

Now, let's solve this system by elimination:

Multiply equation (2) by 2 to make the coefficients of x in both equations equal:

4x - 8y = -32 (3)

Now, add equations (1) and (3) to eliminate y:

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

Now, substitute the value of x back into equation (1) to solve for y:

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

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