Solve by the substitution method.
-x + 3y = 18 7x + 4y = 24
A) (0, 6)
B) No solution
C) (-6, 0)
D) (1, 5)

Name: Solve by the substitution method. -x + 3y = 18 7x + 4y = 24 A) (0, 6) B) No solution C) (-6, 0) D) (1, 5)
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Question

Quizplus · Accepted Answer

Solving the first equation for x gives x = 18 - 3y. Substituting this into the second equation gives 7(18 - 3y) + 4y = 24, which simplifies to 126 - 21y + 4y = 24, leading to -17y = -102, so y = 6. Substituting y = 6 into x = 18 - 3y gives x = 0.

Solve by the Substitution Method