9x+1/2y=51
7x+1/3y=39
There are several ways to do this......here's my approach
Multiply the top equation by 2 and the bottom by 3......this gives us.....
18x + y = 102 (1)
21x + y = 117 (2)
Rearranging (1) we have y = 102 - 18x .......now.....put this into (2) for y
21x + [102 - 18x] = 117 simplify
3x + 102 = 117 subtract 102 from each side
3x = 15 divide by 3
x = 5
And, using y = 102 - 18(x) , we have......y = 102 - 18(5) = 102 - 90 = 12
So....(x, y) = (5, 12)