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

1 Answer

5 votes

Answer:

(1, 5 )

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 )

answered
User Ben Millwood
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