Question

Solve the following equation for the variable n:

R = p·n - 9
a) n = (R + 9) / p
b) n = (R - 9) / p
c) n = R / (p - 9)
d) n = R / p - 9

Answer 1

To solve the equation R = p · n - 9 for n, add 9 to both sides and then divide by p, which yields n = (R + 9) / p.

Step-by-step explanation:

Let's solve the equation R = p · n - 9 for the variable n. Our goal is to express n in terms of R and p.

1. Add 9 to both sides of the equation to isolate the term containing n on one side:
2. R + 9 = p · n
3. Divide both sides of the new equation by p to solve for n:
4. n = (R + 9) / p

This matches option a), meaning that a) n = (R + 9) / p is the correct solution.