| Exam Board | OCR |
| Module | C1 (Core Mathematics 1) |
| Topic | Simultaneous equations |
3. (i) Solve the simultaneous equations
$$\begin{aligned}
& y = x ^ { 2 } - 6 x + 7
& y = 2 x - 9
\end{aligned}$$
(ii) Hence, describe the geometrical relationship between the curve \(y = x ^ { 2 } - 6 x + 7\) and the straight line \(y = 2 x - 9\).