Question

Solve the equation ans is ×=-2​

Answer 1

$\huge\bf\underline{Solution}$

$\dfrac{5x}{4} - \dfrac{x - 1}{2} = \dfrac{x - 1}{3}$

$= > \dfrac{5x - 2(x - 1)}{4} = \dfrac{x - 1}{3}$

$= > \dfrac{5x - 2x + 2}{4} = \dfrac{x - 1}{3}$

$= > \dfrac{3x + 2}{4} = \dfrac{x - 1}{3}$

Cross multiplying the terms.

$= > 3(3x + 2) = 4(x - 1)$

$= > 9x + 6 = 4x - 4$

$= > 9x - 4x = - 4 - 6$

$= > 5x = - 10$

$= > x = - \dfrac{10}{5}$

$= > x = - 2$

Hence the value of x is - 2.

Verification:-

L.H.S

Putting the value of x

$= \dfrac{5 \times ( - 2)}{4} - \dfrac{( - 2) - 1}{2}$

$= - \dfrac{10}{4} - \dfrac{ - 3}{2}$

$= - \dfrac{10}{4} + \dfrac{3}{2}$

$= \dfrac{ - 10 + 6}{4}$

$= - \dfrac{4}{4}$

$= - 1$

Now, R.H.S

Putting the value of x

$= \dfrac{ - 2 - 1}{3}$

$= - \dfrac{3}{3}$

$= - 1$

Therefore, L.H.S = R.H.S

Hence, Proved.