Question

Solve for p. 3(p + q) = p (1 point)

A. q=-2/3p
B. q=-3/2p
C. p=-2/3q
D. p=-3/2q

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for p in the equation 3(p + q) = p, we need to isolate p on one side of the equation.

First distribute the 3 to both terms inside the parentheses:
3p + 3q = p

Next, move the p term to the other side of the equation by subtracting p from both sides:
3p - p + 3q = 0

Combine like terms:
2p + 3q = 0

Now, isolate p by subtracting 3q from both sides:
2p = -3q

Finally, divide both sides by 2 to solve for p:
p = -3q/2

Therefore, the correct answer is D. p = -3/2q.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To solve for p in the equation 3(p + q) = p, we can use the distributive property and then isolate the p variable.

1. Distribute the 3 to both terms inside the parentheses:
3p + 3q = p

2. Remove the parentheses by combining like terms on the left side:
3p - p + 3q = 0

3. Simplify the equation:
2p + 3q = 0

4. Move the 3q to the right side by subtracting 3q from both sides:
2p = -3q

5. Divide both sides of the equation by 2 to isolate p:
p = -3q/2

Therefore, the correct answer is:

D. p = -3/2q

Answer 3

[AI-generated answer — Explain Bot]

To solve for p in the equation 3(p + q) = p, we will use algebraic manipulation. Here's how to do it step by step:

1. Distribute the 3 to both terms inside the parentheses:
3p + 3q = p

2. Move all terms containing p to one side of the equation by subtracting p from both sides:
3p - p + 3q = 0

3. Simplify the equation:
2p + 3q = 0

4. Move the 3q term to the other side of the equation by subtracting 3q from both sides:
2p = -3q

5. Finally, solve for p by dividing both sides of the equation by 2:
p = -3q/2

Therefore, the solution for p is p = -3q/2.

The correct answer choice is:
D. p = -3/2q