Question

What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?

Answer 1

Equation: (4/5)n - 1/5 = (2/5)n

Steps:

1. ((4/5)n - 1/5) - (4/5)n = ((2/5)n) - (4/5)n

2. -1/5 = -2/5n

3. -1/5/-2.5 = -2/5n/-2.5

Solution: n = 2/25 or 0.08

Answer 2

n = 0.5

Explanation:

Equation according to given data:

(4/5)n - 1/5 = (2/5)n

Solution:

(4/5)n - 1/5 = (2/5)n

Subtracting (4/5)n on both sides of equation:

= (4/5)n - 1/5 - (4/5)n = (2/5)n - (4/5)n

= - 1/5 = -2/5n

Multiplying -5/2 on both sides of equation:

= -1/5 . -5/2 = -2/5n . -5/2

= 5/10 = n

= n= 1/2 = 0.5