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0580/12 Oct/Nov 2024, Question 22: Simultaneous Equations by Elimination

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Calculator · 4 marks

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The question, in short

Solve the simultaneous equations 2x + 7y = 34 and 3x + 5y = 18, showing all working.

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

Solution · 4 marks

  1. 1×3: 6x + 21y = 102
  2. 2×2: 6x + 10y = 36
  3. 3Subtract: 11y = 66, y = 6
  4. 42x + 42 = 34, 2x = −8
  5. 5x = −4

Answerx = −4, y = 6

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Also searched as: 0580/12/O/N/24 · 0580_w24_qp_12 · 0580 w24 12 · question 22.
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