Question

2x+3/2x-1=3x-1/3x+1 the solution of the given value is

Answer 1

Answer:

The solution of the given value is $x=\frac{1}{8}$

Step-by-step explanation:

Given : Expression $\frac{2x+3}{2x-1}=\frac{3x-1}{3x+1}$

To find : The solution of the given value is ?

Solution :

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

Cross multiply,

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

$6x^2+2x+9x+3=6x^2-3x-2x+1$

$6x^2+2x+9x+3-6x^2+3x+2x-1=0$

$16x-2=0$

$16x=2$

$x=\frac{2}{16}$

$x=\frac{1}{8}$

The solution of the given value is $x=\frac{1}{8}$