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tatyana61 [14]
4 years ago
8

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

Mathematics
1 answer:
weeeeeb [17]4 years ago
6 0

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

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