| Exam Board | OCR |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Simultaneous equations |
| Type | Two curves intersecting |
| Difficulty | Standard +0.3 This is a standard C1 simultaneous equations question involving one linear and one quadratic equation. While it requires substitution and solving a quadratic, the linear equation easily rearranges to x = 3y - 7, making substitution straightforward. The algebraic manipulation is routine for this topic, making it slightly easier than average. |
| Spec | 1.02c Simultaneous equations: two variables by elimination and substitution |
7. Solve the simultaneous equations
$$\begin{aligned}
& x - 3 y + 7 = 0 \\
& x ^ { 2 } + 2 x y - y ^ { 2 } = 7
\end{aligned}$$
\hfill \mbox{\textit{OCR C1 Q7 [7]}}