Hi,
3x-9y=36 |Multiply by 2 to eliminate x
2x-6y=-12 |Multiply by -3 to eliminate x
6x-18y=72
-6x+18y=36
0 ≠ 108 There is NO soluion
A consistent system has at least one solution.
An inconsistent system has no solutions.****
An independent system has exactly one solution.
A dependent system has infinitely many solutions.