| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 7 |
| 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. It requires straightforward substitution and solving a quadratic, which are routine techniques at this level. The 7 marks suggest multiple steps but no conceptual difficulty beyond basic algebraic manipulation, making it slightly easier than average. |
| Spec | 1.02c Simultaneous equations: two variables by elimination and substitution1.02f Solve quadratic equations: including in a function of unknown |
Solve the simultaneous equations
$$y = x - 2,$$
$$y^2 + x^2 = 10.$$ [7]
\hfill \mbox{\textit{Edexcel C1 Q4 [7]}}