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0580/12 May/Jun 2025, Question 24: Simultaneous Equations by Elimination

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 3 marks

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The question, in short

Solve the pair of simultaneous equations 5x + 2y = 3 and 3x + 4y = 27, finding values of x and y.

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Solution · 3 marks

  1. 1× 2: 10x + 4y = 6
  2. 2Subtract 3x + 4y = 27: 7x = −21, so x = −3
  3. 35(−3) + 2y = 3, 2y = 18
  4. 4x = −3, y = 9

Answerx = −3, y = 9

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