Question

(05.03 MC)

A system of equations is given.
-5y = 10 - 5x
-2y = 8 - 4x
Solve for (x, y) using the elimination method. Show all work.

Answer 1

(x,y)=(2,0)

Explanation:

Multiply top equation by 4 and bottom equation by 5

-5y = 10 - 5x --> -20y = 40 - 20x

-2y = 8 - 4x --> -10y = 40 - 20x

Subtract both equations

-10y = 0

y = 0

Substitute y=0 into one of the original equations to find x

-5y = 10 - 5x

-5(0) = 10 - 5x

0 = 10 - 5x

5x = 10

x = 2

Therefore, the solution is (x,y)=(2,0)