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0580/11 May/Jun 2025, Question 26: Simultaneous Equations by Elimination

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Non-calculator · 4 marks

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The question, in short

Solve the pair of simultaneous equations 2x + 5y = 5 and 3x + 4y = 11 for x and y.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 4 marks

  1. 1× 3: 6x + 15y = 15
  2. 2× 2: 6x + 8y = 22
  3. 3Subtract: 7y = −7, so y = −1
  4. 42x + 5(−1) = 5, 2x = 10
  5. 5x = 5, y = −1

Answerx = 5, y = −1

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Also searched as: 0580/11/M/J/25 · 0580_s25_qp_11 · 0580 s25 11 · question 26.
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