Question

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

Answer 1

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