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Solve the system using substitution y=3x-3, -4x-3y=22

User Suhrob
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1 Answer

2 votes

Answer:

(- 1, - 6 )

Explanation:

y = 3x - 3 → (1)

- 4x - 3y = 22 → (2)

substitute y = 3x - 3 into (2)

- 4x - 3(3x - 3) = 22 ← distribute parenthesis on left side and simplify

- 4x - 9x + 9 = 22

- 13x + 9 = 22 ( subtract 9 from both sides )

- 13x = 13 ( divide both sides by - 13 )

x = - 1

substitute x = - 1 into (1)

y = 3(- 1) - 3 = - 3 - 3 = - 6

solution is (- 1, - 6 )

User AndHeiberg
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