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4MA1/2FR Jun 2025, Question 17: Solving Linear Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 5 marks

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The question, in short

Factorise an algebraic expression completely, then solve an equation with a fractional left side, showing algebraic working.

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

Part (a) · 2 marks

Factorise 18c − 45cd fully.

  1. 1HCF of 18c and 45cd is 9c
  2. 218c ÷ 9c = 2 and 45cd ÷ 9c = 5d
  3. 318c − 45cd = 9c(2 − 5d)

Answer9c(2 − 5d)

Part (b) · 3 marks

Solve (5 − 2x) ÷ 6 = 3x − 4, showing clear algebraic working.

  1. 1Multiply both sides by 6: 5 − 2x = 6(3x − 4)
  2. 25 − 2x = 18x − 24
  3. 35 + 24 = 18x + 2x
  4. 429 = 20x
  5. 5x = 29/20 = 1.45

Answer1.45

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

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