SOLUTION: 5/6=(7n+9)/9 please do the whole equation step by step

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Question 369988: 5/6=(7n+9)/9 please do the whole equation step by step
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5%2F6=%287n%2B9%29%2F9 Start with the given equation.


5%2A9=6%287n%2B9%29 Cross multiply


45=6%287n%2B9%29 Multiply


45=42n%2B54 Distribute.


0=42n%2B54-45 Subtract 45 from both sides.


-42n=54-45 Subtract 42n from both sides.


-42n=9 Combine like terms on the right side.


n=%289%29%2F%28-42%29 Divide both sides by -42 to isolate n.


n=-3%2F14 Reduce.


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Answer:

So the solution is n=-3%2F14


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