Question

solve by elimination :​

Answer 1

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xy/x+y=1/5

=>5xy=x+y

OR

x+y=5xy------(1)

xy/x-y=1/9

=>9xy=x-y

OR

x-y=9xy--------(2)

Subtracting (2) from (1),

2y=-4xy

2=-4x

x= -1/2

substituting x=-1/2 in (1),

-2+y=5(-1/2)(y)

-2+y=-5y/2

y+5y/2=2

2y+5y/2=2

7y/2=2

7y=4

y=7/4