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0580/21 Oct/Nov 2021, Question 8: Simultaneous Equations by Elimination

Cambridge IGCSE Mathematics 0580 · Paper 21 (Extended) · Calculator · 3 marks

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The question, in short

Solve the simultaneous equations 4x − 2y = −13 and −3x + 4y = 11, showing all working.

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

Solution · 3 marks

  1. 1Multiply the first equation by 2: 8x − 4y = −26
  2. 2Add −3x + 4y = 11: 5x = −15, so x = −3
  3. 34(−3) − 2y = −13, so −2y = −1
  4. 4x = −3, y = 0.5

Answerx = −3, y = 0.5

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Also searched as: 0580/21/O/N/21 · 0580_w21_qp_21 · 0580 w21 21 · question 8.
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