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4MA1/2FR Jun 2025, Question 19: Simultaneous Equations by Elimination

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

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The question, in short

Solve the pair of simultaneous equations 3x + 2y = 10 and 3x − 4y = 16, showing clear algebraic working.

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

Solution · 3 marks

  1. 1Subtract: (3x + 2y) − (3x − 4y) = 10 − 16
  2. 26y = −6
  3. 3y = −1
  4. 43x + 2 × (−1) = 10
  5. 53x = 12
  6. 6x = 4

Answerx = 4, y = −1

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