Your answer is no solutions.
Multiply the first equation by - 2.
- 2(3x - 2y = 6)
- 6x + 4y = -12
Combine the like terms of this equivalent equation and the original second equation.
- 6x + 4y = -12
6x - 4y = 14
Everything on the left side of the equal sign cancels out leaving you with:
0 ≠ 2
Because this statement is not true, it means there are no solutions to this system of equations.
