Question

A system of equations is given.

−5y = 10 − 5x
−2y = 8 − 4x
Solve for (x, y) using the elimination method. Write your solution in (x,y) form.

Answer 1

(2, 0 )

Explanation:

- 5y = 10 - 5x → (1)

- 2y = 8 - 4x → (2)

multiplying (1) by - 2 and (2) by 5 and adding will eliminate y

10y = - - 20 + 10x → (3)

- 10y = 40 - 20x → (4)

add (3) and (4) term by term to eliminate y

0 = 20 - 10x ( add 10x to both sides )

10x = 20 ( divide both sides by 10 )

x = 2

substitute x = 2 into either of the 2 equations and solve for y

substituting into (1)

- 5y = 10 - 5(2)

- 5y = 10 - 10 = 0 , then

y = 0

solution is (2, 0 )