Edexcel C1 — Question 5 7 marks

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
Marks7
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicSimultaneous equations
TypeSimultaneous with substitution elimination
DifficultyStandard +0.3 This is a standard C1 simultaneous equations question combining one linear and one quadratic equation. While it requires substitution and solving a resulting quadratic, the algebraic manipulation is straightforward with no unusual complications. The 7 marks reflect routine working rather than conceptual difficulty, making it slightly easier than the average A-level question which typically involves more problem-solving or integration of multiple techniques.
Spec1.02c Simultaneous equations: two variables by elimination and substitution

Solve the simultaneous equations \(x - 3y + 1 = 0\), \(x^2 - 3xy + y^2 = 11\). [7]

Solve the simultaneous equations $x - 3y + 1 = 0$, $x^2 - 3xy + y^2 = 11$. [7]

\hfill \mbox{\textit{Edexcel C1  Q5 [7]}}