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36 votes
36 votes
2x - 3y = - 9
y = -3x - 8

User Ronald McBean
by
2.9k points

1 Answer

18 votes
18 votes

Answer:

(- 3, 1 )

Explanation:

2x - 3y = - 9 → (1)

y = - 3x - 8 → (2)

substitute y = - 3x - 8 into (1)

2x - 3(- 3x - 8) = - 9 ← distribute parenthesis and simplify left side

2x + 9x + 24 = - 9

11x + 24 = - 9 ( subtract 24 from both sides )

11x = - 33 ( divide both sides by - 11 )

x = - 3

substitute x = - 3 into (2)

y = - 3(- 3) - 8 = 9 - 8 = 1

solution is (- 3, 1 )

User Amando Vledder
by
2.5k points