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4MA1/2H Nov 2021, Question 2: Solving Linear Equations

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 4 marks

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The question, in short

Two rectangles have side lengths given in terms of x; rectangle B's area is twice rectangle A's. Form an equation and solve for x, showing working.

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

Solution · 4 marks

  1. 1Area A = 4(5 − x) = 20 − 4x; area B = 5(2x − 1) = 10x − 5
  2. 2B is twice A: 10x − 5 = 2(20 − 4x) = 40 − 8x
  3. 318x = 45
  4. 4x = 2.5

Answer2.5

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