1/2 (2x+3y )+12/7 (3x -2y )=1/2 :7/(2x +3y )+4/(3x -2y )=2

Answer 1

it would be nice if you asked a question, instead of just posting gibberish. At first I thought you wanted to solve two simultaneous equations:

1/2 (2x+3y )+12/7 (3x -2y )=1/2
7/(2x +3y )+4/(3x -2y )=2

but that became unwieldy fast.

Are you trying to clear fractions?

1/2 (2x+3y )+12/7 (3x -2y )=1/2
multiply by 14:
7(2x+3y) + 24(3x-2y) = 7
14x+21y+72x-48y = 7
84x-27y = 7

or something else entirely?

Answer 2

X=1,y=1