What is the solution to the rational equation ?
what equation?
Combine like terms.... 1st
what do you mean?
place the x's with the x's and the constant's with the constants
i have no clue what you are talking about, im new at this
constant is a number, ANY number, and x is of course, a variable.
So, add or subtract like terms from each-other accordingly.
is the answer 3/2
?
1 moment.
I think it may be...
Let me get somebody in here with us, he should be here soon...
can you bump the question up?
Here he is!
When you have two fractions with the same denominator, you can add or subtract, right? Like 2/3 + 4/3 = 6/3 or 6/7 - 2/7 = 4/7 So, you have 3 fractions, and two of them have "2x - 1" as the denominator. You can subtract the one on the right of the equation to get everything on the left.
like: x/(2x - 1) + 1/4 - 2/(2x-1) = 0 then you can combine the two terms with the same denominator: (x - 2)/(2x - 1) + 1/4 = 0
\[4(x)+(2x-1)=2(4)\] multiplying everything by 4(2x-1) \[6x=9\]
(btw, there is more than one way to do this problem... mine is just one way... the other way is like @Jonask is doing... and his is probably the easier way)
The reason you multiply everything by 4(2x-1) in @Jonask's approach is that it removes the denominators by cancelling everything out on the bottoms... Easier to work without fractions, so that gets rid of them right away.
did you verify all methods gets the same solution
the choices i have are: 9/2, 7/2, 3/2 and 7/6
3/2
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