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CAPE Pure Mathematics Unit 1 · May/June 2006 · Paper 1 · Question 5(a)

Consider the system of equations x + 2y = 1 and 2x + my = n, where m, n in R.

Find the values of m, n in R for which the system of equations possesses a unique solution.

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Other parts of this question

  1. 5(b)Find the values of m, n in R for which the system of equations is inconsistent.[2 marks]
  2. 5(c)Find the values of m, n in R for which the system of equations possesses infinitely many solutions.[2 marks]

More practice: the rest of this paper · more The Real Number System – ℝ questions · all CAPE Pure Mathematics Unit 1 past papers