0580/13 May/Jun 2026, Question 23: 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 x + 5y = 9 and 4x + 6y = 1, giving the values of x and y.
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Solution · 3 marks
- 14x + 20y = 36
- 2(4x + 20y) − (4x + 6y) = 36 − 1, so 14y = 35
- 3y = 2.5
- 4x = 9 − 5 × 2.5 = −3.5
Answerx = −3.5, y = 2.5
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Also searched as: 0580/13/M/J/26 · 0580_s26_qp_13 · 0580 s26 13 · question 23.
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