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
waec 2001mathematics

The correct answer is B. p = 1, q = 2

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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