# Solving equations with fractions.

• Aug 19th 2011, 10:45 AM
Orlando
solving equations with fractions!
$\displaystyle \frac{2}{x+1}=\frac{2x}{2x-3}+3$
http://www.mathhelpforum.com/math-he...3+3?p=110?p=42

after having a few goes at this equation i have become stuck would any be able to show us the best way to approch it?
http://www.mathhelpforum.com/math-he...3+3?p=110?p=42
• Aug 19th 2011, 10:49 AM
SammyS
Re: help
Quote:
What's the question?

What have you tried?

Where are you stuck??

Is the expression you show really the expression you intended to show?
• Aug 19th 2011, 10:58 AM
Orlando
Re: help
sorry wrote it down wrong i have corrected it now
• Aug 19th 2011, 11:03 AM
Quacky
Re: solving equations with fractions!
Quote:

Originally Posted by Orlando
$\displaystyle \frac{2}{x+1}=\frac{2x}{2x-3}+3$
http://www.mathhelpforum.com/math-he...3+3?p=110?p=42

after having a few goes at this equation i have become stuck would any be able to show us the best way to approch it?
http://www.mathhelpforum.com/math-he...3+3?p=110?p=42

$\displaystyle \frac{2}{x+1}=\frac{2x}{2x-3}+3$

$\displaystyle \frac{2}{x+1}=\frac{2x}{2x-3}+\frac{3(2x-3)}{2x-3}$

$\displaystyle \frac{2}{x+1}=\frac{2x+3(2x-3)}{2x-3}$

(You could simplify the right further, and indeed it is advisable to do so, but I'll leave you to that.)

Then I'd cross multiply to obtain:

$\displaystyle 2(2x-3)=[2x+3(2x-3)](x+1)$

Do you follow these steps? If yes, then finish; if not, then ask and I'll clarify (Happy)

Edit: Grammar changes.
• Aug 19th 2011, 11:09 AM
Orlando
Re: solving equations with fractions!
Sort of do u know of a site which gives a detailed explaination i colud use?
• Aug 19th 2011, 11:17 AM
Quacky
Re: solving equations with fractions!
Anyone on this site is perfectly willing to do that if we know where your problems are arising. What exactly is it that you've not quite nailed? Do you need a review on fractions? They will come up everywhere - trig, calculus, you just can't get away from them! If you understand common denominators, then it's just algebraic manipulation, and that will come easier with practice.

As for other sites, you could try Wolfram Alpha, although while that tends to give you a fully worked through solution and it's explained, albeit in minimal detail, it sometimes does not presents us with the most rational approach to a question for a human mind, and may give you a false sense of understanding if you come to rely on it.
• Aug 19th 2011, 06:47 PM
Wilmer
Re: solving equations with fractions!
Please post the CORRECT equation CLEARLY...