linear equations

1 / 2(x + 2y) +  5 / 3(3x - 2y) = -3 / 2...(1)

5 / 4(x +2y)  - 3 /  5(3x - 2y) = 61 / 60  ...(2)

Adding (1) and 25/9*(2) we get and then subtracting 2/5*(2) from (1) we get::

x+2y=1/3 ...(3)

and

3x-2y=-1 ...(4)

Solving (3) and (4):

x=-1/6 and = 1/4