0580/12 Feb/Mar 2021, Question 20: Simultaneous Equations by Elimination
Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 4 marks
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The question, in short
Solve the simultaneous equations 5x + 6y = 14 and 2x + 8y = 7, showing all working.
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Solution · 4 marks
- 15x + 6y = 14 (×2): 10x + 12y = 28
- 22x + 8y = 7 (×5): 10x + 40y = 35
- 3Subtract: 28y = 7 so y = 0.25
- 45x + 6 × 0.25 = 14 so 5x = 12.5
- 5x = 2.5, y = 0.25
Answerx = 2.5, y = 0.25
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Also searched as: 0580/12/F/M/21 · 0580_m21_qp_12 · 0580 m21 12 · question 20.
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