4MA1/1HR Jun 2024, Question 12: Simultaneous Equations by Elimination
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1HR (Higher) · Calculator · 4 marks
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The question, in short
Solve the simultaneous equations 4x + 3y = 9.6 and 6x + 5y = 16.8, showing clear algebraic working.
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Solution · 4 marks
- 1Multiply the first equation by 5: 20x + 15y = 48
- 2Multiply the second equation by 3: 18x + 15y = 50.4
- 3Subtract: 2x = −2.4, so x = −1.2
- 4Substitute: 4 × (−1.2) + 3y = 9.6, so 3y = 14.4
- 5y = 4.8
Answerx = −1.2, y = 4.8
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