2x-3y=12 -
4x+6y=5
You want to get rid of y first so multiply the first equation by 2:
4x - 6y = 24
-4x + 6y = 5
now add the 2 equations together:
but as you can see, you cant solve this and if you add the equations together you get 0 = 29
so in result the answer is No Solution