Solve by the substitution method.
-6x + 30 = 6y
3x - 4y = -16
A)(-4, 1)
B)(-4, 2)
C)(-5, 2)
D)No solution

Question

Solve by the substitution method.
-6x + 30 = 6y 
3x - 4y = -16
A)(-4, 1)
B)(-4, 2)
C)(-5, 2)
D)No solution

Quizplus · Accepted Answer

From the first equation, we can express y in terms of x: 6x + 30 = 6y => y = x + 5. Substituting y = x + 5 into the second equation gives 3x - 4(x + 5) = -16, which simplifies to 3x - 4x - 20 = -16, leading to -x = 4, or x = -4. Substituting x = -4 into y = x + 5 gives y = 1. Therefore, the solution is (-4, 1).

Solve by the Substitution Method