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4024/11 Oct/Nov 2024, Question 26: Solving Linear Equations

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks

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The question, in short

Solve the equation x/(x − 1) − 3/(2x − 1) = 1, 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. 1Multiply by (x − 1)(2x − 1): x(2x − 1) − 3(x − 1) = (x − 1)(2x − 1)
  2. 22x² − x − 3x + 3 = 2x² − 2x − x + 1
  3. 3−4x + 3 = −3x + 1
  4. 4x = 2

Answer2

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Also searched as: 4024/11/O/N/24 · 4024_w24_qp_11 · 4024 w24 11 · question 26.
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