Solve the system of equations.%0D%0A2x+8y=8%0D%0A2x−4y=−16(1 point)%0D%0A(, )

Answer 1

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

From the first equation:
2x + 8y = 8
=> 2x = 8 - 8y
=> x = 4 - 4y

Now, substitute x = 4 - 4y into the second equation:
2(4 - 4y) - 4y = -16
8 - 8y - 4y = -16
8 - 12y = -16
-12y = -24
y = 2

Now, substitute y = 2 back into x = 4 - 4y:
x = 4 - 4(2)
x = 4 - 8
x = -4

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