We will have the following:
First, we solve both equations for y, that is:
[tex]6x-2y=4\Rightarrow-2y=-6x+4[/tex][tex]\Rightarrow y=3x-2[/tex]&
[tex]-9x+3y=12\Rightarrow3y=9x+12[/tex][tex]\Rightarrow y=3x+4[/tex]From this we can see that they are parallel lines, that do not share any common points, so there is no solution for the system.
