Question

Which would be used to solve this equation? Check all that apply.
mr001-1.jpgmr001-2.jpgStartFraction p Over 3 EndFraction = 12mr001-4.jpg
subtracting 3 from both sides of the equation
multiplying both sides of the equation by 3
dividing both sides of the equation by 3
substituting 4 for p to check the solution
substituting 36 for p to check the solution

Answer 1

To solve the equation \( \frac{p}{3} = 12 \), we need to isolate \( p \). Here is how we can do it:

1. **Multiplying both sides of the equation by 3**: This will eliminate the fraction and give us \( p = 12 \times 3 = 36 \). **(This option applies)**

2. **Dividing both sides of the equation by 3**: This is essentially the opposite of what we want to do to isolate \( p \), so this option does not help us solve the equation in this context. **(This option does not apply)**

3. **Subtracting 3 from both sides of the equation**: This option does not apply because it does not serve to isolate \( p \) in this equation.

4. **Substituting 4 for p to check the solution**: If we substitute \( p = 4 \) back into the equation, \( \frac{4}{3} \) does not equal 12. Therefore, this does not check out. **(This option does not apply)**

5. **Substituting 36 for p to check the solution**: If we substitute \( p = 36 \) back into the equation, we get \( \frac{36}{3} = 12 \), which is true. Therefore, this correctly checks the solution. **(This option applies)**

In summary, the applicable methods for solving the equation are:
- Multiplying both sides of the equation by 3
- Substituting 36 for p to check the solution