Question

Solve the equation 4/5n - 3/5 = 1/5n. What is the solution?

A) n = 1
B) n = −3
C) n = 3/4
D) n = 1/4

Answer 1

To solve the given equation, subtract 1/5n from both sides, multiply every term by 5 to eliminate the fractions, and then isolate n by dividing by 3, which gives n = 1.

Step-by-step explanation:

To solve the equation 4/5n - 3/5 = 1/5n, we first want to isolate the variable n on one side of the equation. We do this by subtracting 1/5n from both sides, which gives us 3/5n - 3/5 = 0. Next, we want to get rid of the fractions by multiplying every term by 5, the least common denominator, which simplifies the equation to 3n - 3 = 0. Adding 3 to both sides then gives us 3n = 3. Finally, dividing both sides of the equation by 3 gives us n = 1, which corresponds to option A.