Question

Solve for p.

3(p+q) = p

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

Answer 1

3(p+q) = p

First we want to break apart the brackets. The 3 can be distributed as a coefficient to p and q .

3p + 3q = 1p

Next we want to isolate the variable p to a single side of the equation

3p + 3q - 3p = 1p - 3p

Simplifying the equation, we get

3q = -2p

Isolating for p, we get: 3q/-2 = p

This answer corresponds to answer D.

Answer 2

Hi there

3(p + q) = q
Solve for P

Use the distributive property
(3)(p) + (3)(q) = q
3p + 3q = q
3p = q-3q
3p = -2q
p = -2q/3

The answer is D

If you have any further questions please let me know :)