Solve each system using elimination 2x+4y=22 2x-2y=-8

(1, 5)

Step-by-step explanation:

Given the 2 equations

2x + 4y = 22 → (1)

2x - 2y = - 8 → (2)

Subtract (1) from (2) term by term to eliminate x

2x - 2x - 2y - 4y = - 8 - 22, that is

- 6y = - 30 (divide both sides by - 6)

y = 5

Substitute y = 5 in either (1) or (2) and solve for x

Substituting in (1)

2x + 4 (5) = 22

2x + 20 = 22 (subtract 20 from both sides)

2x = 2 (divide both sides by 2)

x = 1

Solution is (1, 5)