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 \(\frac{p}{3} = 12\), you can apply the following methods:

1. **Multiplying both sides of the equation by 3**: This would eliminate the fraction and is the correct approach to isolate \(p\).
- (Correct)

2. **Dividing both sides of the equation by 3**: This would not help in solving it since the equation is already in the form of \(\frac{p}{3}\).
- (Incorrect)

3. **Subtracting 3 from both sides of the equation**: This would not help in solving the equation.
- (Incorrect)

4. **Substituting 4 for p to check the solution**: This would not be correct, as substituting 4 would not satisfy the equation.
- (Incorrect)

5. **Substituting 36 for p to check the solution**: This is correct. If you substitute \(p = 36\), then \(\frac{36}{3} = 12\), which satisfies the equation.
- (Correct)

So, the methods you can use to solve and check the equation are:

- Multiplying both sides of the equation by 3 (Correct)
- Substituting 36 for p to check the solution (Correct)