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4024/13 May/Jun 2026, Question 18: Rearranging Complex Formulas

Cambridge O Level Mathematics 4024 · Paper 13 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Rearrange a = (x + 4)/(7 − x) to make x the subject.

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

Solution · 4 marks

  1. 1a(7 − x) = x + 4
  2. 27a − ax = x + 4
  3. 37a − 4 = x + ax
  4. 47a − 4 = x(1 + a)
  5. 5x = (7a − 4)/(a + 1)

Answerx = (7a − 4)/(a + 1)

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Also searched as: 4024/13/M/J/26 · 4024_s26_qp_13 · 4024 s26 13 · question 18.
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