If 3p = 4q and 9p = 8q - 12, find the value of pq.
A
12
B
7
C
-7
D
-12
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
9p = 8q - 12
9p = 2(4q) - 12
9p = 2(3q) - 12
9p = 6p - 12
3p = -12
p = -4
\(\frac{3 \times -4}{4} = \frac{4q}{4}\)
q = 13
pq = -3 x -4
= 12
Source: Myschool Past Questions Archive (Record #57206)