4MA1/2H Jun 2019, 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 + 2y = −0.5 and 3x − y = 16, showing clear algebraic working.
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Solution · 3 marks
- 1Multiply 3x − y = 16 by 2: 6x − 2y = 32
- 2Add to x + 2y = −0.5: 7x = 31.5, so x = 4.5
- 34.5 + 2y = −0.5, so 2y = −5
- 4x = 4.5, y = −2.5
Answerx = 4.5, y = −2.5
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