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Find all values of y that satisfy the equation:

\([\frac{y}{3} + 1 = \frac{y + 3}{y}] \)
 

 Jul 24, 2022
 #1
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There is only one value of y that satisfies the equation:

 

y ==3

 

[3/3+1 ==(3+3)/3] 

  2      ==     2

 Jul 24, 2022
 #2
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Hmm!  What about y = -3?

Alan  Jul 24, 2022
 #3
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Hi Guest, 

 

So...

 

\(\frac{y}{3}+1=\frac{\left(y+3\right)}{y}\)

 

\(y^2+3y=3\left(y+3\right)\)

 

\(y=3,\:y=-3\)

 

The number of values of y: \(2\)

 Jul 24, 2022
 #4
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Thank you so much!  I was confused and needed help. So thanks!

Guest Jul 24, 2022

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