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Hi. I need help with a math problem. The problem is 6/(n-4)=10/n and I'm not sure how to solve for n. I've got answers from various sites, but I'm confused because no ine is telling me why I need to do what they are doing so I dont know when to do stuff in the future. Thanks for your help.

Hello Alice,

Whenever two fractions are equal to each other, we can always "cross multiply"

and get an equivalent equation. Thus, 6/(n-4)=10/n becomes 6n=10(n-4), now

distribute the 10 on the right hand side to get 6n=10n-40. Then subtract 10n

from both sides (whatever we do on one side of an equation, we must also do on the

other side to preserve the equality)...this gives: -4n=-40. Now divide both sides by

-4 to get n by itself: n=10 ... thus n=10.

See?

I hope this helps.

A. Mantell

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Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Over 15 years teaching at the college level.**Organizations**

NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.**Education/Credentials**

B.S. in Mathematics from Rensselaer Polytechnic Institute

M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook