SOLUTION: Can you help me solve this problem {{n/n-3 + n = 7n-18/n-3}}? I know that you will need to use n-3 as a common denominator, but once i have done that i come out with {{n+n^2-3n=7n

Question 177792: Can you help me solve this problem {{n/n-3 + n = 7n-18/n-3}}?
I know that you will need to use n-3 as a common denominator, but once i have done that i come out with {{n+n^2-3n=7n-18}}. On my teachers answer sheet it says the answer is suppose to be 6 but how is that possible?

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

x LCD (n � 3)
n + n(n � 3) = 7n - 18

(n � 6)(n � 3) = 0

n = 6 or 3

Since n = 3 makes the two fractions undefined, this value cannot be used, so the only answer is n = 6.

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