Moderate -0.8 This is a straightforward simultaneous equations problem requiring substitution of a linear expression into a reciprocal curve equation, leading to a quadratic. The algebraic manipulation is routine and the question is a standard textbook exercise with no conceptual challenges beyond basic technique.
1 The line $x + 2 y = 9$ intersects the curve $x y + 18 = 0$ at the points $A$ and $B$. Find the coordinates of $A$ and $B$.
\hfill \mbox{\textit{CAIE P1 2002 Q1 [4]}}