Given that y = px + q and y = 5 when x = 3,
MATHEMATICS
WAEC 2001
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
Correct Answer: B. p = 1, q = 2
Explanation
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)
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