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Solve the simultaneous equations below. 7x−3y=152x+3y=12

1 Answer

3 votes

Answer:

(3, 2 )

Explanation:

given the simultaneous equations

7x - 3y = 15 → (1)

2x + 3y = 12 → (2)

adding the 2 equations term by term will eliminate y

(7x + 2x) + (- 3y + 3y) = 15 + 12

9x + 0y = 27

9x = 27 ( divide both sides by 9 )

x = 3

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

substituting into (2)

2(3) + 3y = 12

6 + 3y = 12 ( subtract 6 from both sides )

3y = 6 ( divide both sides by 3 )

y = 2

the solution is (3, 2 )

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