Question

√x/y=4; 1/x+1/y=1/xy. Convert the following equation in two simultaneous equation and solve.

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

correct answer try it and mark as brainliest

Answer 2

The values of x and y in the given equations are $\frac{16}{17}$ and $\frac{1}{17}$ respectively.

Step-by-step explanation:

Given equations are $\sqrt{\frac{x}{y}}=4\hfill (1)$ and

$\frac{1}{x}+\frac{1}{y}=\frac{1}{xy}\hfill (2)$

To convert the given equations in two simultaneous equations and solve:

Equation (1) $\sqrt{\frac{x}{y}}=4$

Squaring on both the sides

• $(\sqrt{\frac{x}{y}})^2=4^2$
• $\frac{x}{y}=16$
• $x=16\times y$
• $x=16y$
• $x-16y=0\hfill (3)$

Equation (2) $\frac{1}{x}+\frac{1}{y}=\frac{1}{xy}$

• $\frac{y+x}{xy}=\frac{1}{xy}$
• $y+x=\frac{1\times xy}{xy}$
• $y+x=1$

• $x+y=1\hfill (4)$

Now we have convert it into simutaneous equations as $x-16y=0$ and $x+y=1$

Now solving the equations  (3) and (4) we get

Subtracting the equations (3) and (4)

$x-16y=0$

$x+y=1$

__(-)_(-)_(-)___________

$-17y=-1$

Therefore $y=\frac{1}{17}$

• Substitute the values of y in equation (3) we get
• $x-16(\frac{1}{17})=0$

$x=\frac{16}{17}$

The values of x and y are $\frac{16}{17}$ and $\frac{1}{17}$