Final answer:
The equation 17p - 10 = 8p + ⅓ is solved by first subtracting 8p from both sides, then adding 10, simplifying, and finally dividing by 9 to isolate p, giving the solution p = ⅔.
Step-by-step explanation:
The student's question asks to solve the equation 17p - 10 = 8p + ⅓. The equation needs to be simplified and solved for the variable p. To do this, start by combining like terms and isolate the variable p on one side of the equation.
To solve the equation, follow these steps:
- Subtract 8p from both sides of the equation: 17p - 8p - 10 = ⅓.
- Simplify the equation: 9p - 10 = ⅓.
- Add 10 to both sides of the equation: 9p = ⅓ + 10.
- Since ⅓ is equal to 2, the equation now looks like this: 9p = 2 + 10.
- Simplify the right side: 9p = 12.
- Finally, divide both sides by 9 to solve for p: p = ⅔.
Therefore, the solution to the equation is p = ⅔.