0580/22 Feb/Mar 2022, Question 20: Simultaneous Equations by Elimination
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 5 marks
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The question, in short
Solve the simultaneous equations 3x + y = 11 and x² − 2y = 18, showing all working.
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Solution · 5 marks
- 1y = 11 − 3x
- 2x² − 2(11 − 3x) = 18
- 3x² + 6x − 40 = 0
- 4(x + 10)(x − 4) = 0
- 5x = 4: y = 11 − 12 = −1; x = −10: y = 11 + 30 = 41
- 6x = 4, y = −1 and x = −10, y = 41
Answerx = 4, y = −1 and x = −10, y = 41
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Also searched as: 0580/22/F/M/22 · 0580_m22_qp_22 · 0580 m22 22 · question 20.
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