4MA1/2H Jun 2022, Question 10: 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 7x + 3y = 3 and 3x − y = 7, showing clear algebraic working.
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Solution · 3 marks
- 1Multiply 3x − y = 7 by 3: 9x − 3y = 21
- 2Add to 7x + 3y = 3: 16x = 24, so x = 1.5
- 3Substitute: 3 × 1.5 − y = 7, so 4.5 − y = 7
- 4x = 1.5, y = −2.5
Answerx = 1.5, y = −2.5
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