Solve the linear equation $$\frac{x - 5}{3}$$ = $$\frac{x -3}{5}$$

Asked by Aaryan | 1 year ago |  63

##### Solution :-

$$\frac{x - 5}{3}$$ = $$\frac{x -3}{5}$$

L.C.M. of the denominators, 3 and 5, is 15.

Multiplying both sides by 15, we obtain

5(x - 5) = 3(x - 3)

⇒ 5x - 25 = 3x - 9 (Opening the brackets)

⇒ 5x - 3x = 25 - 9

⇒ 2x = 16

⇒ x = $$\frac{16}{2}$$

⇒ x = 8

Answered by Sakshi | 1 year ago

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