Solve the following system of equations using the substitution method.

-6x + 2y = 8

y = 3x + 4

Question 11 options:

A)

No solution

B)

(0, 4)

C)

Infinitely many solutions

D)

(8, 8)

Answer: (0,4)

The answer would be B, (0,4) because of what happens when you plug these numbers in for x and y. For - 6x+2y=8 you plug numbers in to make it - 6 (0) + 2 (4) = 8 so then 8=8 which is a true statement. Then for the second equation, y=3x+4 you would plug in the numbers once more making it 4=3 (0) + 4 which is 4=4 resulting in a true statement. Therefore B would be the correct answer.