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5 votes
5x − y = 5
-x + 3y = 13

1 Answer

2 votes

Answer:

(2, 5 )

Explanation:

5x - y = 5 → (1)

- x + 3y = 13 → (2)

multiplying (1) by 3 and adding to (2) will eliminate y

15x - 3y = 15 → (3)

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

14x + 0 = 28

14x = 28 ( divide both sides by 14 )

x = 2

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

substituting into (2)

- 2 + 3y = 13 ( add 2 to both sides )

3y = 15 ( divide both sides by 3 )

y = 5

solution is (2, 5 )

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