Question

Solve the system of equations.

2x + 8y = 8

2x - 4y = - 16 (1 point)

Answer 1

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

First, we'll multiply the second equation by -1 to make the coefficients of x the same.

Original equations:
2x + 8y = 8
2x - 4y = - 16

Modified equations:
2x + 8y = 8
-2x + 4y = 16

Now, let's add the two equations together to eliminate x:
(2x + 8y) + (-2x + 4y) = 8 + 16
12y = 24
y = 2

Now that we have the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the first equation:

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

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