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WAEC Further Mathematics 2019 Question 3

Question 3

Polynomials

Solve: p/2 + k/3 = 5 and 2p − k = 6 simultaneously.

  1. A.p = −6, k = −6
  2. B.p = −6, k = 6
  3. C.p = 6, k = 6
  4. D.p = 6, k = −6
Show the answer and explanation

Answer: C (p = 6, k = 6)

Explanation

3p + 2k = 30 and k = 2p − 6, so 3p + 4p − 12 = 30, p = 6 and k = 6.