4MA1/2H Jun 2018, Question 9: Simultaneous Equations by Elimination
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2H (Higher) · Calculator · 3 marks
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The question, in short
Solve the simultaneous equations x + y = 15 and 7x − 5y = 3, showing clear algebraic working.
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Solution · 3 marks
- 1Multiply the first equation by 5: 5x + 5y = 75
- 2Add 7x − 5y = 3: 12x = 78
- 3x = 6.5
- 4Substitute: 6.5 + y = 15
- 5y = 8.5
Answerx = 6.5, y = 8.5
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