Question

Solve the following equation and verify your answer:

\[\frac{5x - 7}{3x} = 2\]

Answer 1

\[\frac{5x - 7}{3x} = 2\]

\[\text{ or }6x = 5x - 7 (\text{ After cross multiplication})\]

\[\text{ or }6x - 5x = - 7\]

\[\text{ or }x = - 7\]

\[ \therefore x = - 7\text{ is the solution of given equation }. \]

\[\text{ Check: }\]

\[\text{ Substituting }x = - 7 \text{ in the given equation, we get: } \]

\[\text{ L . H . S }= \frac{5 \times ( - 7) - 7}{. 3( - 7)} = \frac{- 35 - 7}{- 21} = \frac{- 42}{- 21} = 2\]

\[\text{ R . H . S . }= 2\]

\[ \therefore\text{ L . H . S . = R . H . S . for }x = - 7 .\]