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0580/22 May/Jun 2025, Question 6: Solving Linear Equations

Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Non-calculator · 5 marks

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The question, in short

Solve two linear equations: 8x + 7 = 39 and 2(5y − 1) = 24, finding the value of each variable.

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Part (a) · 2 marks

Solve 8x + 7 = 39 for x.

  1. 18x = 39 − 7 = 32
  2. 2x = 4

Answer4

Part (b) · 3 marks

Solve 2(5y − 1) = 24 for y.

  1. 15y − 1 = 24 ÷ 2 = 12
  2. 25y = 13
  3. 3y = 13/5 = 2.6

Answer2.6 or 13/5

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