Math, asked by antareepa23, 4 months ago

solve the following question

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Answered by ItzzHeartlessGirl
3

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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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