0580/13 May/Jun 2025, Question 25: Simultaneous Equations by Elimination
Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Non-calculator · 3 marks
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The question, in short
Solve the pair of simultaneous equations 8x + 5y = 4 and 2x − y = 10, finding the values of x and y.
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Solution · 3 marks
- 12x − y = 10 (× 5): 10x − 5y = 50
- 2Add to 8x + 5y = 4: 18x = 54, so x = 3
- 32(3) − y = 10, so y = −4
- 4x = 3, y = −4
Answerx = 3, y = −4
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Also searched as: 0580/13/M/J/25 · 0580_s25_qp_13 · 0580 s25 13 · question 25.
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