To eliminate x, we can subtract the second equation from the first equation:
(2x + 8y) - (2x - 4y) = 8 - (-16)
2x + 8y - 2x + 4y = 8 + 16
12y = 24
Dividing both sides by 12, we get:
y = 24/12
y = 2
Substituting this value back into the first equation:
2x + 8(2) = 8
2x + 16 = 8
2x = 8 - 16
2x = -8
x = -8/2
x = -4
So the solution to the system of equations is x = -4 and y = 2.
Solve the system of equations
2x+8y=8
2x-4y=-16
1 answer