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Infinitely many solutions

Infinitely many solutions

Secondary 2
4 marks
TGM Original Questions

Optional extension

The simultaneous equations \(px-4y=10\) and \(6x+qy=30\) have infinitely many solutions.

  1. Find the values of \(p\) and \(q\).[3]
  2. Explain the geometrical significance of the two straight lines.[1]

Solution:

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Answer:\(p=2\), \(q=-12\); both equations represent the same line.

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