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Find all values of y that satisfy the equation y/3 + 1 = (y + 8)/y.

 Jul 19, 2021
 #1
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Answer: 26 and 26

 

Solution:

Multiplying both sides by 3y gives:

 

y2+3y=3y+24

 

Subtracting both sides of the new equation by 3y gives:

 

y2=24

 

Isolating y gives:

 

y=±24

 

The square root of 24 can be simplified into 26. So y can be 26 or 26.

 Jul 20, 2021

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