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

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

Quizplus · Accepted Answer

Solving the first equation for x gives x = -1 - 6y. Substituting this into the second equation gives 7(-1 - 6y) + 7y = -7, which simplifies to -7 - 42y + 7y = -7, leading to -35y = 0, so y = 0. Substituting y = 0 into x = -1 - 6y gives x = -1. Therefore, the solution is (-1, 0).

Solve by the Substitution Method