Question

2/3x+10 =1/x-1 find the value x​

Answer 1

Step-by-step explanation:

$\frac{2}{3x + 10} = \frac{1}{x - 1}$

$= > 3x + 10 = (x - 1) \times 2$

$= > 3x + 10 = 2x - 2$

$= > 3x - 2x = - 2 - 10$

$= > x = - 12$

The value of x is -12.

Answer 2

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

$\sf \longmapsto \dfrac{2}{3x + 10} = \dfrac{1}{x - 1}$

Now,cross multiply to both sides:

$\sf \longmapsto2(x - 1) = 1(3x + 10)$

=>expanding the terms :

$\sf \longmapsto2x - 2 = 3x + 10$

Now, arranging the terms making Variable and constant terms together:

$\sf \longmapsto2x - 3x = 10 + 2$

$\sf \longmapsto - x = 12$

$\sf \longmapsto \bold{x = - 12}$

Check:

$\sf \longmapsto \dfrac{2}{3x + 10} = \dfrac{1}{x - 1}$

$\sf \longmapsto \dfrac{2}{3( - 12) + 10} = \dfrac{1}{ - 12 - 1}$

$\sf \longmapsto \dfrac{2}{ - 36 + 10} = \dfrac{1}{ - 13}$

$\sf \longmapsto \dfrac{2}{ - 26} = - \dfrac{1}{13} = - \dfrac{1}{13}$

∴LHS=RHS (verified)