Step-by-step soln for 9/[2(x+1)] + 1/[x-1] = [x+1]/[2(x-1)]

[bgun]

\(\displaystyle \mbox{Solve: }\, \dfrac{9}{2\, (x\, +\, 1)}\, +\, \dfrac{1}{x\, -\, 1}\, =\, \dfrac{x\, +\, 1}{2\, (x\, -\, 1)}\)

 

[tkhunny]

Have you considered finding a Common Denominator?

 

[bgun]

Have you considered finding a Common Denominator?

The answer is x=8 but i need the solution step by step.

 

[tkhunny]

I need the solution step by step

Well, finding a Common Denominator would be a good first step. Let's see you do that and then we can talk.

 

[Deleted member 4993]

\(\displaystyle \mbox{Solve: }\, \dfrac{9}{2\, (x\, +\, 1)}\, +\, \dfrac{1}{x\, -\, 1}\, =\, \dfrac{x\, +\, 1}{2\, (x\, -\, 1)}\)

What are your thoughts?

Please share your work with us ...even if you know it is wrong.

If you are stuck at the beginning tell us and we'll start with the definitions.

You need to read the rules of this forum. Please read the post titled "Read before Posting" at the following URL:

http://www.freemathhelp.com/for

 

[sinx]

\(\displaystyle \mbox{Solve: }\, \dfrac{9}{2\, (x\, +\, 1)}\, +\, \dfrac{1}{x\, -\, 1}\, =\, \dfrac{x\, +\, 1}{2\, (x\, -\, 1)}\)

multiply each fraction to get a common denominator
cancel out the common denominator, i.e. multiply thru by common denominator.then, expand and combine like terms....

 

[lookagain]

multiply each fraction to get a common denominator
cancel out the common denominator, i.e. multiply thru by common denominator.then, expand and combine like terms

Please do not give out a detailed solution without the student attempting and showing work here, as well as it has
only been the next day. Note how a prompt was given to the student just before your post. You ignored that, too.

 

[Dr.Peterson]

multiply each fraction to get a common denominator
cancel out the common denominator, i.e. multiply thru by common denominator.then, expand and combine like terms

It's also worth noting that there's a mistake (typo?) in your work, and your answer is wrong. (Check it!)

Someone else gave the same wrong answer already, without showing work; not sure which is worse.

 

[stapel]

The answer is x=8 but i need the solution step by step.

As you were told before you posted the above, the first step would be to find the common denominator of the three fractions. What did you get for that common denominator?

The next step might be multiplying through by that common denominator, as this will "clear" all the fractions and leave you with a simple quadratic equation. What equation do you get?

The next step would be to solve that quadratic equation, remembering that x cannot equal either of 1 and -1. What solution(s) do you get?

Please reply showing your work and results from following the above step-by-step instructions. Thank you!