Question

2x+8y=8
2x−4y=−16 (1 point)

Answer 1

To solve this system of equations, you can use the method of substitution or elimination.

Let's use the elimination method to solve this system of equations.

Given:
2x + 8y = 8 ----- (1)
2x - 4y = -16 ----- (2)

To eliminate the variable x, multiply equation (2) by 1 in order to change the x term to -2x:
2x + 8y = 8
-2x + 4y = 16

Add the two equations to eliminate x:
(2x + 8y) + (-2x + 4y) = 8 + 16
12y = 24
y = 2

Now that we have found the value of y, we can substitute it back into one of the original equations to solve for x. Let's substitute y = 2 into equation (1):

2x + 8(2) = 8
2x + 16 = 8
2x = -8
x = -4

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