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

Thanks!

 Jun 10, 2019
 #1
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+2

Solve for r:
(r + 3)/(r - 2) = (r - 1)/(r + 1)

Cross multiply:
(r + 1) (r + 3) = (r - 2) (r - 1)

Expand out terms of the left hand side:
r^2 + 4 r + 3 = (r - 2) (r - 1)

Expand out terms of the right hand side:
r^2 + 4 r + 3 = r^2 - 3 r + 2

Subtract r^2 - 3 r + 2 from both sides:
7 r + 1 = 0

Subtract 1 from both sides:
7 r = -1

Divide both sides by 7:


 r = -1/7

 Jun 10, 2019
 #2
avatar+248 
+2

Thanks!

sinclairdragon428  Jun 10, 2019
 #3
avatar+721 
+2

(r+3)/(r-2)=(r-1)(r+1)

(r+3)(r+1)=(r-1)(r-2)

r^2+4r+3=r^2-3r+2

7r=-1

r=-1/7

 

You are very welcome!

:P

 Jun 10, 2019

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