Geometry of Equations
Review question

No solutions, or infinitely many?
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Ref: R6514
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Question

Find the value of \(k\) for which the simultaneous equations \[\begin{align*} 2x - ky &= 1 \\ (k+3)x - 9y &= k \end{align*}\]

have

  1. an infinite number of solutions,
  2. no solutions.
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UCLES AO level Additional Mathematics 2, QP 8175/2, 1983, Q30b

Question reproduced by kind permission of Cambridge Assessment Group Archives. The question remains Copyright University of Cambridge Local Examinations Syndicate (“UCLES”), All rights reserved.

 Last updated 12-Dec-16
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