Solve the linear equation\( \frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}\)

Asked by Sakshi | 1 year ago |  129

1 Answer

Solution :-

\( \frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}\)

L.C.M. of the denominators, 2, 3, 4, and 5, is 60.

Multiplying both sides by 60, we obtain

60(\(\frac{x}{2} - \frac{1}{5}\)) = 60(\(\frac{x}{3} + \frac{1}{4}\))

⇒ 30x - 12 = 20x + 15 (Opening the brackets)

⇒ 30x - 20x = 15 + 12

⇒ 10x = 27

⇒ x = \(\frac{27}{10}\)

Answered by Aaryan | 1 year ago

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