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
\(\dfrac{4}{5}n-\dfrac{3}{5}=\dfrac{1}{5}n\ \ \ \ \ |multiply\ both\ sides\ by\ 5\\\\4n-3=n\ \ \ \ |add\ 3\ to\ both\ sides\\\\4n=n+3\ \ \ \ |subtract\ n\ from\ both\ sides\\\\3n=3\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{n=1}\)
Answer:
The correct result would be n = 1.
Step-by-step explanation:
4/5n - 3/5 = 1/5n /5n
4 - 3/5 5n = 1
4 - 3n = 1
4 - 1 = 3n
3 = 3n
n = 1