SOLUTION: If 5/n - 1/2 = 3/6n , what is the value of n

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Question 880084: If 5/n - 1/2 = 3/6n , what is the value of n
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%2Fn+-+1%2F2+=+3%2F%286n%29


%282%2F2%29%2A%285%2Fn%29+-+1%2F2+=+3%2F%286n%29


%2810%29%2F%282n%29+-+1%2F2+=+3%2F%286n%29


%2810%29%2F%282n%29+-+%28n%2Fn%29%2A%281%2F2%29+=+3%2F%286n%29


%2810%29%2F%282n%29+-+%28n%29%2F%282n%29+=+3%2F%286n%29


%2810-n%29%2F%282n%29+=+3%2F%286n%29


%2810-n%29%286n%29+=+%282n%29%2A3


6n%2810-n%29+=+%282n%29%2A3


6n%2810%29%2B6n%28-n%29+=+%282n%29%2A3


60n-6n%5E2=6n


60n-6n%5E2-6n=0


-6n%5E2-54n=0


-6n%28n-9%29=0


-6n=0 or n-9=0


n=0 or n=9


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The *possible* solutions are n=0 or n=9


However, you CANNOT divide by zero. So n=0 is NOT a solution (look back at how we have 5%2Fn)


This means n=9 is the only solution.


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Final Answer: n=9