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

Answer 2

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 = $\frac{1}{17}$        

To learn more...

1. In Figure-8, ABCD is a parallelogram. A semicircle with centre 0 and the diameter AB has been drawn and it passes through D. If AB = 12 cm and OD 1 AB, then find the area of the shaded region. (Use a = 3-14).

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2The algebra of sum of an arithmetic sequence is [n]2+2n. a.) What is the sum of first 10 term of this sequence. b.) How many terms from the first ate needed to get the sum 168?

https://brainly.in/question/6161260