Question

Solve for p in the equation 16−3p= 2/3 p+5.
a) p=4
b) p=6
c) p=−2
d) p=2

Answer 1

To solve for p in the equation 16 - 3p = 2/3 p + 5, we can simplify the equation and then isolate p by moving terms to one side. The final solution is p = 3.

Step-by-step explanation:

To solve for p in the equation 16 - 3p = 2/3 p + 5, we can start by simplifying both sides of the equation. First, we can multiply both sides of the equation by 3 to eliminate the fractions:

48 - 9p = 2p + 15

Next, we can combine like terms by moving all terms with p to one side and all constant terms to the other side:

48 - 15 = 2p + 9p

33 = 11p

Finally, we can solve for p by dividing both sides of the equation by 11:

p = 33/11 = 3