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2/x+3/y=13........(1)
5/x-4y=-2...........(2)
Replacing 1/x by m and 1/y by n we get,
2m+3n=13.............(3)
5m-4n=-2............(4)
Multiplying (3) by 4 and (4) by 3 we get,
8m+12n=52..........(5)
15m-12n=-6...........(6)
Adding (5) and (6)
23m= 46
: . m=2
Substitute the value of m in (5) we get,
8(2) +12n=52
: . 16+12n=52
: . 12n=52-16
: . 12n=36
: . n=3
now, 1/x=m
: . 1/x=2
_________
: . x=1/2
__________
and 1/y=n
: . 1/y=3
__________
: . y=1/3
__________
So the Values are:.
♡x =1/2
♡y=1/3
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