you have to set one of the equations equal to one of the variables. Easiest one would be using the top equation. SO
x=6-2y
then substitute 6-2y in the 2nd equation for the x. SO
3(6-2y)-2y=2
18-6y-2y=2
18-8y=2
-8y=-16
y=2
so you know what y is you can plug in the value of it to find x
3x-2(2)=2
3x-4=2
3x=6
x=2
x=2 and y=2
you can check your answers to see that it is correct