Question

please help on finding solution to the rational equation

Answer 1

\[\frac{ x }{ 2x-1 } - \frac{ 1 }{ 4 } =\frac{ 2 }{ 2x-1 }\]

Answer 2

A) x = 2

B) x = 7 over 2

C) x = 3

D) x = 7 over 6

Answer 3

Subtract the first fraction from both sides and you will get,
\[\huge\color{blue}{ -\frac{1}{4} = \frac{2}{2x-1}- \frac{x}{2x-1} }\]
the denominators of the fractions on the right are same....
\[\huge\color{blue}{ -\frac{1}{4} = \frac{2-x}{2x-1}}\]
cross multiply.
\[\huge\color{blue}{ ( -1)(2x-1)=4(2-x)}\]
\[\huge\color{blue}{ -2x+1=8-4x}\]

can you do it from here?

Answer 4

-2x=7
x=7/2

sorry for the late respoinse