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.
- Find the value of \(p\) and state the restriction on \(q\).[3]
- 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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