4MA1/1H Jun 2025, Question 22: Simultaneous equations (circle and line)
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1H (Higher) · Calculator · 5 marks
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The question, in short
Solve x² + y² = 41 and 2x + y = 3 simultaneously.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 5 marks
- 1x² + 3(x + 2) + (x + 2)² = 7
- 2x² + 3x + 6 + x² + 4x + 4 = 7
- 32x² + 7x + 3 = 0
- 4(2x + 1)(x + 3) = 0, so x = −1/2 or x = −3
- 5y = −1/2 + 2 = 3/2 and y = −3 + 2 = −1
Answerx = −1/2, y = 3/2 and x = −3, y = −1
Stuck on a step? Read the free lesson: Simultaneous Equations with a Curve
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