Question

"Solve for (p).

(6 = {1}{3}(9p + 12))

a) (p = -3)
b) (p = -2)
c) (p = {2}{3})
d) (p = 3{1}{3})"

Answer 1

To solve for p in the equation 6 = 1/3(9p + 12), we eliminate the fraction, simplify, and solve for p to find that p = 2/3.

Step-by-step explanation:

To solve for p in the equation 6 = 1/3(9p + 12), we first multiply both sides of the equation by 3 to eliminate the fraction. This gives us:

3 * 6 = 1/3(9p + 12) * 3

18 = 9p + 12

Next, we subtract 12 from both sides:

18 - 12 = 9p + 12 - 12

6 = 9p

Now, we divide both sides by 9 to solve for p:

6 / 9 = 9p / 9

p = 2/3

Therefore, the solution is p = 2/3, which corresponds with answer choice c).