6x-3y=3 -2x+6y=14. First step is multiply the top equation by 2, so you have 12x-6y=6 -2x+6y=14 -6y and +6y cancel each other out, so if you simplify, you have 10x=20, which is then solved by dividing each side by 10, and getting x=2.
Now plug x=2 into one of the equations (I chose the first) 6(2)-3y=3 12-3y=3 -3y=-9, divide each side by -3 and get y=3. so your point is (2,3)