| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Simultaneous equations |
| Type | Simultaneous with substitution elimination |
| Difficulty | Standard +0.3 This is a standard simultaneous equations question combining one linear and one quadratic equation. It requires substitution (expressing x from the linear equation) and solving a resulting quadratic, which are routine C1 techniques. The algebra is straightforward with 7 marks reflecting multiple steps rather than conceptual difficulty, making it slightly easier than the average A-level question. |
| Spec | 1.02c Simultaneous equations: two variables by elimination and substitution1.02j Manipulate polynomials: expanding, factorising, division, factor theorem |
Solve the simultaneous equations
$$x - 3y + 1 = 0,$$
$$x^2 - 3xy + y^2 = 11.$$
[7]
\hfill \mbox{\textit{Edexcel C1 Q2 [7]}}