4MA1/1FR Jun 2018, Question 25: Simultaneous Equations by Elimination
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1FR (Foundation) · Calculator · 3 marks
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The question, in short
Solve the simultaneous equations 3x + 2y = 15 and 10x − 4y = 2, showing clear algebraic working.
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Solution · 3 marks
- 1Multiply the first equation by 2: 6x + 4y = 30
- 2Add to 10x − 4y = 2: 16x = 32, so x = 2
- 3Substitute: 6 + 2y = 15, so 2y = 9
- 4x = 2, y = 4.5
Answerx = 2, y = 4.5
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