Question

Which would be used to solve this equation? Check all that apply. p/3=12

A. Subtracting 3 from both sides of the equation
B. Multiplying both sides of the equation by 3
C. Dividing both sides of the equation by 3
D. Substituting 4 for p to check the solution
E. Substituting 36 for p to check the solution.

Answer 1

To solve p/3 = 12, one must multiply both sides by 3 (Option B), resulting in p = 36. To verify the solution, 36 can be substituted back into the equation (Option D) to check if both sides are equal.

Step-by-step explanation:

To solve the equation p/3 = 12, we need to isolate the variable p. To do this, we can employ the following steps:

1. Multiply both sides of the equation by 3 to cancel out the division by 3 on the left side. This is represented by Option B: Multiplying both sides of the equation by 3.
2. After finding the solution for p, substitute the solution back into the original equation to check if the equation is true. This would be Option D: Substituting 36 for p to check the solution, since 36 divided by 3 equals 12.

Options A, C, and E are not applicable to the solution process. Subtracting 3 from both sides (Option A) and dividing both sides by 3 (Option C) would not help isolate p. Furthermore, Option E suggests substituting 36 for p, but we only substitute the solution back into the equation to check, not as part of the solving process.

Clearly, Option B is correct for solving the equation, and Option D is correct for verifying the solution.