Which would be used to solve this equation? Check all that apply.

Question

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