4MA1/2F Jan 2022, Question 25: Simultaneous Equations by Elimination
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2F (Foundation) · Calculator · 3 marks
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The question, in short
Solve the simultaneous equations 3x + 5y = 3.1 and 6x + 3y = 3.75, showing clear algebraic working.
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Solution · 3 marks
- 1Double the first equation: 6x + 10y = 6.2
- 2Subtract the second equation: 7y = 2.45, so y = 0.35
- 3Substitute: 3x + 1.75 = 3.1, so 3x = 1.35 and x = 0.45
- 4x = 0.45, y = 0.35
Answerx = 0.45, y = 0.35
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