Question

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

Answer 1

To solve this system of equations, we can use the substitution method.

First, we can solve one of the equations for either x or y. Let's solve the second equation for x:

2x - 4y = -16
2x = 4y - 16
x = 2y - 8

Now we can substitute this expression for x into the first equation:

2(2y - 8) + 8y = 8
4y - 16 + 8y = 8
12y - 16 = 8
12y = 24
y = 2

Now that we have found the value of y, we can substitute y = 2 back into x = 2y - 8 to find x:

x = 2(2) - 8
x = 4 - 8
x = -4

Therefore, the solution to the system of equations is (-4, 2).