Question

√x/y=4 1/x + 1/y = 1/xy​

Answer 1

ANSWER:-

take √x/y = 4 ......as 1eqn

and take 1/x+ 1/y = 1/xy as 2nd eqn

squaring on both side of eqn 1

x/y = 16

x=16y

x-16y =0 ........( 3 )

solve 2nd eqn

y+x/xy = 1/xy

y+x=1 (multiply by xy on both side.)

x+y=1 ............( 4 )

solve 3 and 4 eqn

x-x - 16 y - y =0 -1

-17y = -1

y = 1/17

put y= 1/17 in 4th eqn

x + 1/17 = 1

17x +1 / 17 = 1

17x +1 = 17

17x = 17- 1

x= 16/17

therefore x = 16/17 and y = 1/17 is the solution of the given simultaneous equation.

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