Question

Solve for p.

3(p + q) = p

(1 point)
Responses

q = –two-thirdsp
q = – Image with alt text: two-thirds p

q = –start fraction three over two end fractionp
q = – Image with alt text: start fraction three over two end fraction p

p = –two-thirdsq
p = – Image with alt text: two-thirds q

p = –start fraction three over two end fractionq
p = – Image with alt text: start fraction three over two end fraction q

Answer 1

To solve for p, we can begin by distributing the 3 to both p and q:

3p + 3q = p

Next, we can move all the p terms to one side of the equation and all the q terms to the other side:

3p - p = -3q

Combining like terms, we have:

2p = -3q

Finally, to solve for p, we divide both sides of the equation by 2:

p = -3q/2

Therefore, the correct answer is p = –start fraction three over two end fractionq.