5x - 2y = 10 x + 4y = 2

(2, 0 )

Step-by-step explanation:

Given the 2 equations

5x - 2y = 10 → (1)

x + 4y = 2 → (2)

Multiplying (1) by 2 and adding to (2) will eliminate the y- term

10x - 4y = 20 → (3)

Add (2) and (3) term by term to eliminate y

11x + 0 = 22

11x = 22 ( divide both sides by 11 )

x = 2

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

Substituting into (1)

5(2) - 2y = 10

10 - 2y = 10 ( subtract 10 from both sides )

- 2y = 0, so

y = 0

solution is (2, 0 )