What is the answer to this?

Question

1. Solve the system by substitution. Tell whether the system has one solution, infinitely many solutions, or no solutions.

2x - 6y = 12

3y = x + 6

Answer 1

2x - 6y = 12

3y = x + 6 ⇒ y = (x + 6)/3

2x - 6[(x + 6)/3] = 12

2x - 2(x + 6) = 12

-12 = 12 ⇒ NO SOLUTION

The 2 given equations represent 2 parallel lines, which do no intersect.