4MA1/1F Jun 2023, Question 24: Simultaneous Equations by Elimination
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 3 marks
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The question, in short
Solve the simultaneous equations 2x + 9y = 14.5 and 7x + 3y = 8, showing clear algebraic working.
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Solution · 3 marks
- 1Multiply 7x + 3y = 8 by 3: 21x + 9y = 24
- 2Subtract 2x + 9y = 14.5: 19x = 9.5, so x = 0.5
- 3Substitute: 2 × 0.5 + 9y = 14.5, so 9y = 13.5
- 4x = 0.5 y = 1.5
Answerx = 0.5, y = 1.5
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