Ask a New Question
Menu

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

1 answer

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)