Question

What is the solution to the equation fraction 3 over 5 n minus fraction 4 over 5 equals fraction 1 over 5 n?

Answer 1

The answer to the question should be n = 2.

This is because we can start by setting up the equation as this:

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

Next we would subtract 3/5n from both sides.

-4/5 = -2/5n.

Then we would multiply both sides by 5/-2.

2 = n.

Answer 2

Answer:

n = 2

Step-by-step explanation:

As per statement of the question we will form the equation first.

$(\frac{3}{5})n-\frac{4}{5}=(\frac{1}{5})n$

Now we will solve the given equation to get the solution of n.

$(\frac{3}{5})n=\frac{4}{5}+(\frac{1}{5})n$

$(\frac{3}{5})n-(\frac{1}{5})n=\frac{4}{5}$

$(\frac{3-1}{5})n=\frac{4}{5}$

$(\frac{2}{5})n= \frac{4}{5}$

Now we cross multiply the fractions

(2×5)×n = 4×5

10.n = 20

$n=\frac{10}{5}=2$

Therefore answer is n = 2