Solve by the substitution method.
-x - 5y = -27 -6x - 6y = -90
A) No solution
B) (-8, 8)
C) (7, 8)
D) (8, 7)

Question

Quizplus · Accepted Answer

Solving the first equation for x gives x = -27 + 5y. Substituting this into the second equation gives -6(-27 + 5y) - 6y = -90, which simplifies to 162 - 30y - 6y = -90. Combining like terms gives -36y = -252, so y = 7. Substituting y = 7 into x = -27 + 5y gives x = -27 + 35 = 8. Therefore, the solution is (8, 7).

Solve by the Substitution Method