Question

solve the equation
√x/√y=4
and 1/x+1/y=1/xy​

Answer 1

Answer:

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Answer 2

Answer:

x = 16/17 , y = 1/17

Solution:

Here,

The given equations are :

√x/√y = 4 -------(1)

1/x + 1/y = 1/xy -------(2)

Eq-(1) can be rewritten as ;

=> √(x/y) = 4

=> x/y = 4²

=> x/y = 16

=> x = 16y ------(3)

Eq-(2) can be rewritten as ;

=> 1/x + 1/y = 1/xy

=> (y + x)/xy = 1/xy

=> y + x = xy/xy

=> y + x = 1

=> x = 1 - y ------(4)

Now,

From eq-(3) and (4) , we have ;

=> 16y = 1 - y

=> 16y + y = 1

=> 17y = 1

=> y = 1/17

Now,

Putting y = 1/17 in eq-(3) , we get ;

=> x = 16y

=> x = 16•(1/17)

=> x = 16/17

Hence,

The required answer is ;

x = 16/17

y = 1/17