0580/22 May/Jun 2025, Question 24: Simultaneous Equations with a Curve
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 5 marks
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The question, in short
Solve the simultaneous equations for the line y = 7x + 3 and the curve y = x² + 5x − 12 to find the coordinates of the two intersection points A and B.
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Solution · 5 marks
- 1x² + 5x − 12 = 7x + 3
- 2x² − 2x − 15 = 0
- 3(x − 5)(x + 3) = 0, so x = 5 or x = −3
- 4x = 5: y = 7 × 5 + 3 = 38; x = −3: y = 7 × (−3) + 3 = −18
- 5(5, 38) and (−3, −18)
Answer(5, 38) and (−3, −18)
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Also searched as: 0580/22/M/J/25 · 0580_s25_qp_22 · 0580 s25 22 · question 24.
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