Multiple Choice Solve for p. 3(p q) = p (1 point) Responses q = –p q = – Image with alt text: two-thirds p q = –p q = – Image with alt text: start fraction three over two end fraction p p = –q p = – Image with alt text: two-thirds q p = –q
To solve for p, we can start by distributing the 3 on the left side of the equation:
3p - 3q = p
Next, we can bring all the terms involving p to one side of the equation:
3p - p = 3q
Simplifying further, we have:
2p = 3q
Finally, to solve for p, we divide both sides of the equation by 2:
p = (3q)/2
Therefore, the correct response is: p = (3q)/2
To solve for p in the equation 3(p - q) = p, follow these steps:
Step 1: Distribute the 3 on the left side of the equation:
3p - 3q = p
Step 2: Move all the p terms to one side of the equation by subtracting p from both sides:
3p - p - 3q = 0
2p - 3q = 0
Step 3: Solve for p by isolating the p term:
2p = 3q
p = (3q) / 2
Therefore, the correct response is p = (3q) / 2.
To solve for p in the equation 3(p - q) = p, we'll follow these steps:
Step 1: Distribute the 3 to both terms inside the parentheses:
3p - 3q = p
Step 2: Move all terms with p to one side of the equation:
3p - p = 3q
2p = 3q
Step 3: Divide both sides of the equation by 2 to isolate p:
(2p)/2 = (3q)/2
p = (3/2)q
Therefore, the correct response is "Image with alt text: start fraction three over two end fraction q."