Question

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

Answer 1

Given:

`(2x-3)/(x-4)=(2)/(3)`

To find:

The value of x.

Solution:

We have,

`(2x-3)/(x-4)=(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=(1)/(4)`

`x=0.25`

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