1.

If 3x - 2(x + 3) = 2(2x - 5), then the value of \(\frac{5x - 2}{3x - 5}\) is:1. -14/32. \(2 \frac{4}{7}\)3. \(2 \frac{3}{7}\)4. -11/3

Answer» Correct Answer - Option 1 : -14/3

Given:

3x - 2(x + 3) = 2(2x - 5)

Claculations:

3x - 2x -  6 = 4x - 10

⇒ x - 6 = 4x -10 

⇒ x - 4x = -10 + 6

⇒ -3x = - 4

⇒ x  = 4/3

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

⇒ (20/3) - 2)/(4 - 5)

⇒ (14/3)/(-1)

⇒ (-14/3)

∴ The required value is (- 14/3)


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