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प्रश्न
Solve the following equation and verify your answer:
\[\frac{5x - 7}{3x} = 2\]
बेरीज
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उत्तर
\[\frac{5x - 7}{3x} = 2\]
\[\text{ or }6x = 5x - 7 (\text{ After cross multiplication})\]
\[\text{ or }6x - 5x = - 7\]
\[\text{ or }x = - 7\]
\[ \therefore x = - 7\text{ is the solution of given equation }. \]
\[\text{ Check: }\]
\[\text{ Substituting }x = - 7 \text{ in the given equation, we get: } \]
\[\text{ L . H . S }= \frac{5 \times ( - 7) - 7}{. 3( - 7)} = \frac{- 35 - 7}{- 21} = \frac{- 42}{- 21} = 2\]
\[\text{ R . H . S . }= 2\]
\[ \therefore\text{ L . H . S . = R . H . S . for }x = - 7 .\]
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