# Solve Each of the Following Equation and Also Verify Your Solution: 7 X + 35 = 1 10 - Mathematics

Sum

Solve the following equation and also verify your solution:
$\frac{7}{x} + 35 = \frac{1}{10}$

#### Solution

$\frac{7}{x} + 35 = \frac{1}{10}$
$\text{ or }\frac{7}{x} = \frac{1}{10} - 35$
$\text{ or }\frac{7}{x} = \frac{1 - 350}{10}$
$\text{ or }\frac{x}{7} = \frac{10}{- 349}$
$\text{ or }x = \frac{- 10 \times 7}{349} = \frac{- 70}{349}$
$\text{ Verification: }$
$\text{ L . H . S .} = \frac{7}{\frac{- 70}{349}} + 35$
$= 7 \times \frac{349}{- 70} + 35$
$= \frac{349}{- 10} + 35 = \frac{1}{10} =\text{ R . H . S .}$

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 9 Linear Equation in One Variable
Exercise 9.1 | Q 8 | Page 5