CAIE Further Paper 2 2023 November — Question 1

Exam BoardCAIE
ModuleFurther Paper 2 (Further Paper 2)
Year2023
SessionNovember
TopicSimultaneous equations

1 Show that the system of equations $$\begin{aligned} 14 x - 4 y + 6 z & = 5
x + y + k z & = 3
- 21 x + 6 y - 9 z & = 14 \end{aligned}$$ where \(k\) is a constant, does not have a unique solution and interpret this situation geometrically.