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Solve for r  :   \(\frac{r+3}{r-2} = \frac{r-1}{r+1}\)Express your answer as a fraction.

ant101  Mar 31, 2017
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 #1
avatar+91235 
+3

Hello ant101 :)

 

Solve for r

 

First you should note that  r cannot equal 2 or -1 becasue you cannot divide by 0.

 

\(\frac{r+3}{r-2}=\frac{r-1}{r+1}\\ (r+3)(r+1)=(r-1)(r-2)\\ r^2+4r+3=r^2-3r+2\\ 4r+3=-3r+2\\ 7r=-1\\ r=\frac{-1}{7}\)

 

check

(-1/7+3)/(-1/7-2) = -1.3333333333333333

(-1/7-1)/(-1/7+1) = -1.3333333333333333

Yep they are the same :)

Melody  Mar 31, 2017
 #2
avatar+230 
+1

Thanks!!!!!!!!!!!!!!!

ant101  Apr 2, 2017

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