Given that y = px + q and y = 5 when x = 3, while y = 4 when x = 2, find the value of p and q.
A
p = 1, q = 3
B
p = 1, q = 2
C
p = -2, q = 3
D
p = 3, q = -2
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
y = px + q
5 = 3p + q ... (i)
4 = 2p + q ... (ii)
(i) - (ii) : p = 1
\(\therefore\) 5 = 3(1) + q
\(\implies\) q = 5 - 3 = 2
(p, q) = (1, 2)
Source: Myschool Past Questions Archive (Record #26484)