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put 1/(2x+y)=p,1/(2x-y)=q
then the eqns will become
14p+3q=5
3p-4q=25/7
multiply 1st eqn with 3 & eqn 2 with 14
42p+ 9q =15
42p-56q=50
65q= -35
q= -7/13
subs in 1st eqn
3p+28/13=25/7
3p=25/7 - 28/13
3p=(325-196)/91
3p=129/91
p=43/91
now 1/(2x+y)=p=43/91
2x+y=91/43
86x+43y=91
86x+43y-91=0 be eqn 3
1/(2x-y)= -7/13
2x-y=-13/7
14x-7y= -13
14x-7y+13=0 be eqn 4
by solving 3 & 4 we get the values of x&y
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