Question

(2x-5)/(3x-1) = (2x-1)/(3x+2)

Answer 1

Solution:-

$\dfrac{2x - 5}{3x - 1} = \dfrac{2x - 1}{3x + 2}$

Solving the following linear equation by cross-multiplying the terms.

$= > (2x - 5)(3x +2) = (3x - 1)(2x - 1)$

$= > 2x(3x + 2) - 5(3x + 2) = 3x(2x - 1) - 1(2x - 1)$

$= > 6 {x}^{2} + 4x - 15x - 10 = 6 {x}^{2} - 3x - 2x + 2$

$= > 6 {x}^{2} - 11x - 10 = 6 {x}^{2} - 5x + 2$

$= > 6 {x}^{2} - 11x - 6 {x}^{2} + 5x = 2 + 10$

$= > - 11x + 5x = 12$

$= > - 6x = 12$

$= > x = \dfrac{-12}{6}$

$= > x = - 2$

Hence the value of x is -2.