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4024/21 Oct/Nov 2025, Question 23: Equations with fractions

Cambridge O Level Mathematics 4024 · Paper 21 (Calculator) · Calculator · 4 marks

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The question, in short

Solve x/(x + 3) − 4/(x − 5) = 1.

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

Solution · 4 marks

  1. 1x(x − 5) − 4(x + 3) = (x + 3)(x − 5)
  2. 2x² − 5x − 4x − 12 = x² − 2x − 15
  3. 3−9x − 12 = −2x − 15
  4. 4−7x = −3
  5. 5x = 3/7

Answer3/7

Stuck on a step? Read the free lesson: Solving Linear Equations

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