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3 votes
what is the solution to the equation fraction 4 over 5 n minus fraction 3 over 5 equals fraction 1 over 5 n? n = 1 n = −3 n = fraction 3 over 4 n = fraction 1 over 4

User Ordinary
by
8.0k points

2 Answers

4 votes

Answer:

The correct result would be n = 1.

Explanation:

4/5n - 3/5 = 1/5n /*5n

4 - 3/5 * 5n = 1

4 - 3n = 1

4 - 1 = 3n

3 = 3n

n = 1

User Afourney
by
6.5k points
5 votes

(4)/(5)n-(3)/(5)=(1)/(5)n\ \ \ \ \ |multiply\ both\ sides\ by\ 5\\\\4n-3=n\ \ \ \ |add\ 3\ to\ both\ sides\\\\4n=n+3\ \ \ \ |subtract\ n\ from\ both\ sides\\\\3n=3\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{n=1}