Solve the system by substitution.
-x + 3y = 15 2x + 3y = 24
A) (10, 1)
B) (10, 9)
C) No solution
D) (9, 2)

Name: Solve the system by substitution. -x + 3y = 15 2x + 3y = 24 A) (10, 1) B) (10, 9) C) No solution D) (9, 2)
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Question

Quizplus · Accepted Answer

Substitute x = 15 - 3y from the first equation into the second equation: 2(15 - 3y) + 3y = 24. Simplifying gives 30 - 6y + 3y = 24, which simplifies to 30 - 3y = 24. Solving for y gives y = 2. Substitute y = 2 back into x = 15 - 3y to find x = 9. Thus, the solution is (9, 2).

Solve the System by Substitution