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0580/12 May/Jun 2026, Question 10: Solving Linear Equations

Cambridge IGCSE Mathematics 0580 · Paper 12 (Core) · Non-calculator · 4 marks

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The question, in short

Phil has 7y − 52 cars and Ann has 78 − 6y cars, with equal amounts. Form an equation and solve it to find how many cars each has.

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Part (a) · 1 mark

Write an equation stating that Phil's expression 7y − 52 equals Ann's expression 78 − 6y.

  1. 1Same number of cars, so 7y − 52 = 78 − 6y

Answer7y − 52 = 78 − 6y

Part (b) · 3 marks

Solve the equation for y, then use it to work out the number of cars each person has.

  1. 17y + 6y = 78 + 52
  2. 213y = 130
  3. 3y = 10
  4. 47 × 10 − 52 = 18 cars

Answer18

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