4MA1/2HR Jan 2021, Question 12: Simultaneous Equations by Elimination
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 4 marks
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The question, in short
Solve the pair of simultaneous equations 2x + 7y = 17 and 5x + 3y = −1, showing clear algebraic working.
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Solution · 4 marks
- 1Multiply the first equation by 5 and the second by 2: 10x + 35y = 85 and 10x + 6y = −2
- 2Subtract: 29y = 87, so y = 3
- 3Substitute into 2x + 7y = 17: 2x + 21 = 17, so 2x = −4
- 4x = −2, y = 3
Answerx = −2, y = 3
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