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July 2nd, 2011, 05:11 PM   #1
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Stuck on an equation

i am having trouble breaking this down. can someone help me out with this? It's a rational expression.



I believe the LCD is 2(x+1) 2(x-2) but that's as far as I have gotten. If anyone can help it would be awesome!
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July 2nd, 2011, 05:24 PM   #2
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Re: Stuck on an equation

I would choose 4(x + 1)(x - 1) as a common denominator.

Notice that you can write your equation as:



Would you care to multiply by the LCD and show us your progress?
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July 2nd, 2011, 06:19 PM   #3
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Re: Stuck on an equation

OK I multiplied by the LCD and got 6(x-1)-5(x+1)=8x

That would distribute out to 6x-6-5x-5=8x

and then x-11=8x

and then -8x+x-11=0?

this is where I'm not sure. Am I ok up to that point?
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July 2nd, 2011, 06:54 PM   #4
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Re: Stuck on an equation

Yes, you've done fine so far. I would back up one step to:

x - 11 = 8x

Subtract x from both sides:

-11 = 7x

Divide through by 7:

-(11/7) = x
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July 2nd, 2011, 07:04 PM   #5
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Re: Stuck on an equation

awesome, thanks very much
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