Question

2x-3 divided by x-4=2divided by 3

Answer 1

Given:

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

To find:

The value of x.

Solution:

We have,

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

By cross multiplication, we get

$3(2x-3)=2(x-4)$

$6x-9=2x-8$

Isolating variable terms, we get

$6x-2x=9-8$

$4x=1$

Divide both sides by 4.

$x=\dfrac{1}{4}$

$x=0.25$

Therefore, the solution of the given equation is x = 0.25.