No solution and parallel lines

No solution and parallel lines

Secondary 2
4 marks
TGM Original Questions

Optional extension

The simultaneous equations \(px-6y=8\) and \(9x-12y=-q\) have no solution.

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

Solution:

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Answer:\(p=\frac92\), \(q\ne-16\); the graphs are distinct parallel lines.

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