Question

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

Answer 1

To solve this system of equations, we will use the second equation to solve for x and then substitute that value into the first equation to solve for y.

Starting with the second equation:
2x - 4 = -16
Add 4 to both sides:
2x = -12
Divide by 2:
x = -6

Now substitute x = -6 into the first equation:
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)