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0580/12 Feb/Mar 2023, Question 23: Simultaneous Equations by Elimination

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 3 marks

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The question, in short

Solve the simultaneous equations 3x − 2y = 19 and x + y = 3, showing all working.

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Solution · 3 marks

  1. 1x + y = 3, so 2x + 2y = 6
  2. 2Add to 3x − 2y = 19: 5x = 25, x = 5
  3. 35 + y = 3, y = −2
  4. 4x = 5, y = −2

Answerx = 5, y = −2

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