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 in the equation 3(p + q) = p, we can follow these steps:
1. Distribute the 3 to both terms inside the parentheses:
3p + 3q = p
2. Subtract p from both sides of the equation to isolate the term containing p:
3p - p + 3q = 0
Simplifying the equation gives us:
2p + 3q = 0
Therefore, the solution for p in terms of q is:
p = -1.5q or p = -3/2q
To solve for p in the equation 3(p + q) = p, you can follow these steps:
Step 1: Distribute the 3 to both terms inside the parentheses:
3p + 3q = p
Step 2: Simplify the equation by combining like terms:
3p - p = -3q
2p = -3q
Step 3: Divide both sides of the equation by 2 to isolate p:
p = -3q/2
Therefore, the solution for p is p = -3q/2.
To solve for p in the equation 3(p + q) = p, you can follow these steps:
Step 1: Distribute the 3 on the left side of the equation:
3p + 3q = p
Step 2: Move all terms with p to one side of the equation:
3p - p = -3q
Simplifying this gives us:
2p = -3q
Step 3: Divide both sides of the equation by 2 to isolate p:
p = (-3q) / 2
Therefore, the solution for p in terms of q is p = (-3q) / 2.