SOLUTION: how to solve the rational equation (n+5)/(n+8)=1+(6/n+1)

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Question 455064: how to solve the rational equation (n+5)/(n+8)=1+(6/n+1)
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
(n+5)/(n+8)=1+(6/n+1)
I'll assume you mean (n+5)/(n+8) = 1+ (6/(n+1))
(n+5)/(n+8) = n=1+ 6/(n+1) = (n+7)/(n+1)
(n+5)/(n+8) = (n+7)/(n+1)
Cross multiply
(n+5)(n+1) = (n+8)(n+7)
n%5E2+%2B+6n+%2B+5+=+n%5E2+%2B+15n+%2B+56
6n + 5 = 15n + 56
-9n = 51
n = -51/9 = -17/3