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Mathematics 16 Online
OpenStudy (anonymous):

What is the solution to the rational equation ?

OpenStudy (anonymous):

what equation?

OpenStudy (anonymous):

OpenStudy (anonymous):

Combine like terms.... 1st

OpenStudy (anonymous):

what do you mean?

OpenStudy (anonymous):

place the x's with the x's and the constant's with the constants

OpenStudy (anonymous):

i have no clue what you are talking about, im new at this

OpenStudy (anonymous):

constant is a number, ANY number, and x is of course, a variable.

OpenStudy (anonymous):

So, add or subtract like terms from each-other accordingly.

OpenStudy (anonymous):

is the answer 3/2

OpenStudy (anonymous):

?

OpenStudy (anonymous):

1 moment.

OpenStudy (anonymous):

I think it may be...

OpenStudy (anonymous):

Let me get somebody in here with us, he should be here soon...

OpenStudy (anonymous):

can you bump the question up?

OpenStudy (anonymous):

Here he is!

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

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

OpenStudy (anonymous):

\[4(x)+(2x-1)=2(4)\] multiplying everything by 4(2x-1) \[6x=9\]

OpenStudy (anonymous):

(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)

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

did you verify all methods gets the same solution

OpenStudy (anonymous):

the choices i have are: 9/2, 7/2, 3/2 and 7/6

OpenStudy (anonymous):

3/2

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