You can graph this, but you can also solve it by hand.
Here is a hint:
6x-3y=12
-x+y=-2
(Lining them up)
6x-3y=12
-6x+6y=-12
(Multiply so we can eliminate a value)
3y=0
(Add)
y=0
Using this can you figure out x and get the ordered pair?
If you are still confused you can just tell me and I'll give you a full answer or a bigger hint :D