2y = 16 + 4x
6y - 30 = 12x
I assume the problem asks you to solve this system of equations. First, put them in standard form:
4x - 2y = 16
12x - 6y = -30
Let's multiply the top equation by -3 then add the top and bottom equations together:
-3·(4x - 2y = 16)
12x - 6y = -30
-12x + 6y = -48
12x - 6y = -30
-----------------------
0 + 0 = -78
0 = -78
Clearly this is nonsense, which means that the two lines are parallel and never intersect. Algebraically, we say that there are no solutions and the system of equations is inconsistent.
