Question

Convert the following equations into simultaneous equations and
solve:
√x/y=4,
1/X+1/y=1/xy​

Answer 1

Step-by-step explanation:

First square the eqn 1

take lcm in 2 equation

then u will get 2 simultaneous equation

solve it

the answer for x will be 16/17

and y will be 1/17

try this

I have solved this today in my exams

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Answer 2

The values after solving the two given simultaneous equations -

x = 16/17 , y = 1/17

The two simultaneous equations after simplifying the two given equations -

√(x/y) = 4

Taking square of both the sides of the equation and after simplifying we get -

=> x = 16y ------(1)

1/x+1/y=1/xy

Taking the L.C.M of the equation and after simplifying we get -

=> x + y = 1 ------(2)

Simplyfying the eqaution (2) -

=> x+y = 1

=> 16y + y = 1 {x = 16y from the equation (1)}

=> 17y = 1

=> y = 1/17

x = 16/17