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0580/42 May/Jun 2025, Question 9: Simultaneous Equations by Elimination

Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 3 marks

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The question, in short

Solve the simultaneous equations 2w − 3y = 11 and 3w + y = 11, showing all working.

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Solution · 3 marks

  1. 1Multiply the second equation by 3: 9w + 3y = 33
  2. 2Add to 2w − 3y = 11: 11w = 44, so w = 4
  3. 33 × 4 + y = 11, so y = −1
  4. 4w = 4, y = −1

Answerw = 4, y = −1

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Also searched as: 0580/42/M/J/25 · 0580_s25_qp_42 · 0580 s25 42 · question 9.
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