Question

Solve the system of linear equations by elimination.
-5x+12y=8
2x-8y=0

Answer 1

x = -4

y = -1

Explanation:

-5x+12y=8

2x-8y=0

We multiply the first equation by 2 and the second equation by 5

-10x + 24y = 16

10x - 40y = 0

-16y = 16

y = -1

Now put -1 back in for y and solve for x

-5x + 12(-1) = 8

-5x - 12 = 8

-5x = 20

x = -4

Let's check

-5(-4) + 12(-1) = 8

20 - 12 = 8

8 = 8

So, x = -4 & y = -1 is the correct answer.