Question

Solve for p. 16-3p= 2/3 p+5

Answer 1

To solve for p in the equation 16-3p = (2/3)p+5, simplify both sides of the equation, combine like terms, and isolate the p term. The solution for p is 11/5 or approximately 2.2.

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.

1. Multiply the fraction (2/3) by 3 to get (2/3) * 3 = 2.
2. Combine like terms on the right side of the equation to get 2p + 5.
3. Now the equation becomes 16 - 3p = 2p + 5.
4. Add 3p to both sides of the equation to isolate the p term: 16 = 5p + 5.
5. Subtract 5 from both sides of the equation to further isolate the p term: 11 = 5p.
6. Finally, divide both sides of the equation by 5 to solve for p: p = 11/5 or p ≈ 2.2.