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4024/12 May/Jun 2023, Question 21: Solving Linear Equations

Cambridge O Level Mathematics 4024 · Paper 12 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Solve the equation 5x ÷ (x − 3) = x + 4, showing working for full marks.

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

Solution · 4 marks

  1. 15x = (x + 4)(x − 3)
  2. 25x = x² + x − 12
  3. 3x² − 4x − 12 = 0
  4. 4(x − 6)(x + 2) = 0
  5. 5x = −2 or x = 6

Answer−2, 6

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