Math, asked by wwwshardatayde806, 9 months ago

Convert the following equations into simultaneous equations and solve

√x/y=4 ,1/x+1/y=1/xy

Answers

Answered by nihar2504
9

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

Answered by rahul123437
21

The value of x = \frac{16}{17}    

The value of y = \frac{1}{17}  

Given:

\sqrt{\frac{x}{y} }= 4

\frac{1}{x} + \frac{1}{y} =  \frac{1}{xy}

To find:

The conversion of the following equations in two simultaneous equations and solving it.

Explanation:

 \sqrt{\frac{x}{y} } = 4      .......................1

  \frac{1}{x} + \frac{1}{y} =  \frac{1}{xy}   .....................2

Squaring the equation (1), we get  

  \sqrt{\frac{x}{y} } = 4      .....................1

\frac{x}{y} = 4²

\frac{x}{y} = 16

x = 16y

From equation (2),

 \frac{1}{x} + \frac{1}{y} =  \frac{1}{xy}   ..................2

   \frac{x+y}{xy}=  \frac{1}{xy}    

x+y =  \frac{xy}{xy}

x+y = 1    

From the equation (1) ⇒  x = 16y

Substituting the value of x in equation (2), we get

x + y = 1

16y + y = 1

17y = 1

y = \frac{1}{17}  

x = \frac{16}{17}   y ⇒ \frac{1}{17}        

Hence,

The value of x = \frac{16}{17}     and value of y = \frac{1}{17}        

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