Question

What is the solution to the rational equation x over 2x minus 1 plus 1 over 4 equals 2 over 2x minus 1

Answer 1

Answer:

the solution of given rational equation is x= 3/2

Step-by-step explanation:

$\frac{x}{2x-1}+\frac{1}{4} = \frac{2}{2x-1}$

We need to solve the above rational equation and find value of x

Finding LCM of 4 and (2x-1) we get 4(2x-1).

Multiplying 4(2x-1) on both sides of equation and solving

$\frac{x}{2x-1}*4(2x-1)+\frac{1}{4}*4(2x-1) = \frac{2}{2x-1}*4(2x-1)\\4x+2x-1=8\\6x-1=8\\6x=8+1\\6x=9\\x=9/6\\x=3/2$

So, the solution of given rational equation is x= 3/2