solve the system of equations.

2x + 8y = 8
2x - 4 = -16
(_,_)
show your work

1 answer

1. From the second equation: 2x - 4 = -16
Add 4 to both sides:
2x = -12
Divide by 2:
x = -6

2. Substitute x = -6 into the first equation 2x + 8y = 8:
2(-6) + 8y = 8
-12 + 8y = 8
Add 12 to both sides:
8y = 20
Divide by 8:
y = 2.5

Therefore, the solution to the system of equations is (-6, 2.5)