| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Simultaneous equations |
| Type | Simultaneous with substitution elimination |
| Difficulty | Standard +0.3 This is a standard simultaneous equations problem combining one linear and one quadratic equation. Students substitute the linear equation into the quadratic, expand to get a quadratic in one variable, then solve. While it requires careful algebraic manipulation and handling two solutions, it follows a well-practiced routine with no novel insight needed, making it slightly easier than average. |
| Spec | 1.02c Simultaneous equations: two variables by elimination and substitution |
Solve the simultaneous equations
\begin{align}
x - 3y + 1 &= 0,\\
x^2 - 3xy + y^2 &= 11.
\end{align}
[7]
\hfill \mbox{\textit{Edexcel C1 Q31 [7]}}