Question

X_y/2=1,x/2+y=25/6

Answer 1

do you mean

x - y/2 = 1
x/2 + y = 25/6 ????
if so
2 x - y = 2
x + 2 y = 25/3
or
2 x - y = 6/3
2 x + 4 y = 50/3
---------------------- subtract
0 - 5 y = -44/3
y = 44/15

Answer 2

Assuming you meant:

x - y/2 = 1
x/2 + y = 25/6

and assuming you want to solve .....

double the first: 2x - y = 2
the 2nd times 4: 2x + 4y = 50/3
subtract them:
5y = 50/3 - 2 = 44/3
y = 44/15

sub into the first:
x - 44/15)(1/2) = 1
x = 1 + 22/15 = 37/15