Question

2/x-8/5x=1/5
solve this que

Answer 1

$<b><u>ANSWER<u><b>$

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A.T.Q.

$\frac{2}{x} \: - \: \frac{8}{5x} \: = \: \frac{1}{5} \\ \\ = > \frac{2 \times 5 \: - \: 8 \times 1}{5x} \: = \: \frac{1}{5} \\ \\ = > \: \frac{10 \: - \: 8}{5x} \: = \: \frac{1}{5} \\ \\ = > \: \frac{2}{5x} \: = \: \frac{1}{5} \\ \\ = > \: 2\: \times \: 5\: = \: 1 \: \times \: 5x \\ \\ = > 10 \: = \: 5x \\ \\ = > x \: = \: 2 \: \: \: \: \: \: \: \: \: ans$


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Answer 2

$\underline{\bold{Given:-}}$

$\frac{2}{x} - \frac{8}{5x} = \frac{1}{5}$

$\underline{\bold{To\:find:-}}$

The value of x is to be find out.

$\underline{\bold{Solution:-}}$

$\frac{2}{x} - \frac{8}{5x} = \frac{1}{5} \\ \\ \bold{On \: taking \: the \: lcm \: on \: left \: side}\\ \\ \frac{10 - 8}{5x} = \frac{1}{5} \\ \\ \bold{On \: multiplying \: both \: sides \: by \: 5} \\ \\ \frac{10 - 8}{5x} \times 5 = \frac{1}{5} \times 5 \\ \\ \frac{2}{x} = 1 \\ \\ \bold{On \: cross \: multiplication} \\ \\2=x\\\\\boxed {x = 2}$

The value of x is 2.