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

n = 2

Explanation:

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

`((3)/(5))n-(4)/(5)=((1)/(5))n`

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

`((3)/(5))n=(4)/(5)+((1)/(5))n`

`((3)/(5))n-((1)/(5))n=(4)/(5)`

`((3-1)/(5))n=(4)/(5)`

`((2)/(5))n= (4)/(5)`

Now we cross multiply the fractions

(2×5)×n = 4×5

10.n = 20

`n=(10)/(5)=2`

Therefore answer is n = 2

Answer 2

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.