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X Algebra (Maharashtra board 2020)

Venkatesan Iyer
12/03/2020 0 0

Solve

√(x/y)= 4

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

 

Solution

√(x/y)=4

Squaring both sides

x/y=16

x=16y

x-16y=0 <-eqn1

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

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

x+y=1 <-eqn2

Multiply by 16

16x+16y=16  eqn3

     x-16y=0  eqn1

Adding both eqns

17x=16

x= 16/17

x+y=1

(16/17)+y=1

y=1-(16/17)

y=1/17

Answers

x=16/17, y=1/17

 

 

 

 

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