Verified answer

Get the x terms equal. Then:

If the y terms are different, the equations are independent.

If the y terms are same and the constant is the same, they are consistent,

If the y terms are same and the constant is different, they are inconsistent,

So: multiply first equation by 3:

x - 6y = 18

multiply second equation by -2:

x - 6y = -18

The equations are inconsistent (they contradict each other)