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3 marksAlgebraic Operations

CAPE Pure Mathematics Unit 1 · May/June 2005 · Paper 2 · Question 2(b)(i)

A pair of simultaneous equations is given by px + 2y = 8 and -4x + p²y = 16, where p ∈ ℝ.

Find the value of p for which the system has an infinite number of solutions.

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Other parts of this question

  1. 2(a)Prove, by Mathematical Induction, that 10ⁿ - 1 is divisible by 9 for all positive integers n.[9 marks]
  2. 2(b)(ii)Find the solutions for this value of p.[3 marks]
  3. 2(c)Find the set of real values of x for which (x+4)/(x-2) > 5.[5 marks]

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