0580/23 Oct/Nov 2023, Question 22: Simultaneous Equations with a Curve
Cambridge IGCSE Mathematics 0580 · Paper 23 (Extended) · Calculator · 5 marks
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The question, in short
Find where the line 4x + y = 9 meets the curve y + x² = 5, showing all working.
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Solution · 5 marks
- 1y = 9 − 4x and y = 5 − x²
- 29 − 4x = 5 − x²
- 3x² − 4x + 4 = 0, (x − 2)² = 0, x = 2
- 4y = 9 − 4 × 2 = 1
- 5(2, 1)
Answer(2, 1)
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