Question

(2x + 2y = 16 3x - y = 4
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Answer 1

(3, 5 )

Explanation:

2x + 2y = 16 → (1)

3x - y = 4 → (2)

multiplying (2) by 2 and adding to (1) will eliminate y

6x - 2y = 8 → (3)

add (1) and (3) term by term to eliminate y

8x + 0 = 24

8x = 24 ( divide both sides by 8 )

x = 3

substitute x = 3 into either of the 2 equations and solve for y

substituting into (1)

2(3) + 2y = 16

6 + 2y = 16 ( subtract 6 from both sides )

2y = 10 ( divide both sides by 2 )

y = 5

solution is (3, 5 )