Find value of x in the nbsp-given pair of equations- nbsp- nbsp- nbsp- nbsp- 1-x - a - 3 nbsp- nbsp- nbsp- nbsp- nbsp- 1-x nbsp- a - 11-2-2-4-1-4-

The correct option is A 1/2 The two equations are 1/x + a = 3 nbsp; 1/x nbsp; a = 1 Now if we add both the equations, we get 1/x a + 1/x+ a = 1 + 3 ...

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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.

$\frac{1}{x} + a = 3$

$\frac{1}{x} - a = 1$

$\frac{1}{4}$

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$\frac{1}{2}$

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Solution

The correct option is B
$\frac{1}{2}$

The two equations are

$\frac{1}{x} + a = 3$
$\frac{1}{x} - a = 1$

Now if we add both the equations, we get

$\frac{1}{x} - a + \frac{1}{x} + a = 1 + 3$

$\Rightarrow \frac{2}{x} = 4$

$\Rightarrow x = \frac{1}{2}$

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Find value of x in the given pair of equations. 1x+a=3 1x−a=1

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Find value of x in the given pair of equations.

$\frac{1}{x} + a = 3$

$\frac{1}{x} - a = 1$

The correct option is B
$\frac{1}{2}$

The two equations are

$\frac{1}{x} + a = 3$
$\frac{1}{x} - a = 1$

Now if we add both the equations, we get

$\frac{1}{x} - a + \frac{1}{x} + a = 1 + 3$

$\Rightarrow \frac{2}{x} = 4$

$\Rightarrow x = \frac{1}{2}$