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4MA1/2F Jun 2025, Question 25: Simultaneous Equations by Elimination

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 3 marks

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The question, in short

Solve the simultaneous equations 3x + 5y = 8 and 4x + y = −3.5, showing clear algebraic working.

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

Solution · 3 marks

  1. 1Multiply the second equation by 5: 20x + 5y = −17.5
  2. 2Subtract from 3x + 5y = 8: −17x = 25.5
  3. 3x = −1.5
  4. 44 × −1.5 + y = −3.5, so y = −3.5 + 6
  5. 5y = 2.5

Answerx = −1.5, y = 2.5

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