| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Simultaneous equations |
| Type | Line intersecting general conic |
| Difficulty | Moderate -0.5 This is a standard C1 simultaneous equations question combining a linear and quadratic equation. The method is routine (substitute from linear into quadratic, solve resulting quadratic, back-substitute), requiring no novel insight. While it involves multiple steps for 6 marks, the technique is well-practiced and straightforward, making it slightly easier than the average A-level question. |
| Spec | 1.02c Simultaneous equations: two variables by elimination and substitution |
Solve the simultaneous equations
$$x - 2y = 1,$$
$$x^2 + y^2 = 29.$$ [6]
\hfill \mbox{\textit{Edexcel C1 Q5 [6]}}