0580/22 Feb/Mar 2023, Question 19: Simultaneous Equations with a Curve
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 3 marks
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The question, in short
Solve the simultaneous equations 6x + y = 10 and y = x² − 3x + 10 to find the values of x.
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Solution · 3 marks
- 1y = 10 − 6x, so 10 − 6x = x² − 3x + 10
- 2x² + 3x = 0
- 3x(x + 3) = 0
- 4x = 0 or x = −3
Answer0 and −3
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