Find value of x in the given pair of equations- 1-x-1-y - 4 nbsp- 1-x-1-y - 2 nbsp-1-3-1-6-3-6-

The correct option is A 1/3 The two equations are 1/x+1/y = 4 nbsp; 1/x 1/y = 2 nbsp; On adding both the equations, we get 1/x+1/y+1/x 1/y nbsp;= 4 + 2 ⇒ ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Elimination method of finding solution of a pair of LE

Find value of...

Question

Find value of $x$ in the given pair of equations.

$\frac{1}{x} + \frac{1}{y} = 4$

$\frac{1}{x} - \frac{1}{y} = 2$

$\frac{1}{3}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$\frac{1}{6}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
$\frac{1}{3}$

The two equations are

$\frac{1}{x} + \frac{1}{y} = 4$

$\frac{1}{x} - \frac{1}{y} = 2$

On adding both the equations, we get

$\frac{1}{x} + \frac{1}{y} + \frac{1}{x} - \frac{1}{y} = 4 + 2$

$\Rightarrow \frac{2}{x} = 6$

$\Rightarrow x = \frac{1}{3}$

Suggest Corrections

Similar questions

Find the values of x and y in the given pair of equations:

$\frac{5}{x - 2} + \frac{1}{y - 3}$ =2 and $\frac{8}{x - 2}$ + $\frac{6}{y - 3}$ =1

Find value of $x$ in the given pair of equations.

$\frac{1}{x} + \frac{1}{y} = 4$

$\frac{1}{x} - \frac{1}{y} = 2$

Q. Find the value of

x

in the gien pair of equations:

\frac{1}{x} + \frac{1}{y} = 4, \frac{1}{x} - \frac{1}{y} = 2

Find value of x and y in the given pair of equation, where $x \neq 0 & y \neq 0$ .
$\frac{2}{x} + \frac{3}{y} = 13$
$\frac{5}{x} - \frac{4}{y} = - 2$

Q. Find the value of x, y in the pair of equation given below, where

x \neq 0 & y \neq 0

\frac{2}{x} + \frac{3}{y} = 13

\frac{5}{x} - \frac{4}{y} = - 2

Join BYJU'S Learning Program

Find value of x in the given pair of equations. 1x+1y=4 1x−1y=2

The correct option is A 13 The two equations are 1x+1y=4 1x−1y=2 On adding both the equations, we get 1x+1y+1x−1y=4+2 ⇒2x=6 ⇒x=13

Find value of $x$ in the given pair of equations.

$\frac{1}{x} + \frac{1}{y} = 4$

$\frac{1}{x} - \frac{1}{y} = 2$

The correct option is A
$\frac{1}{3}$

The two equations are

$\frac{1}{x} + \frac{1}{y} = 4$

$\frac{1}{x} - \frac{1}{y} = 2$

On adding both the equations, we get

$\frac{1}{x} + \frac{1}{y} + \frac{1}{x} - \frac{1}{y} = 4 + 2$

$\Rightarrow \frac{2}{x} = 6$

$\Rightarrow x = \frac{1}{3}$