4MA1/1FR Jan 2023, Question 21: 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 x + 2y = 15 and 4x − 6y = 4, showing clear algebraic working.
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Solution · 3 marks
- 1Multiply the first equation by 4: 4x + 8y = 60
- 2Subtract 4x − 6y = 4: 14y = 56, so y = 4
- 3Substitute into x + 2y = 15: x + 8 = 15, so x = 7
- 4x = 7, y = 4
Answerx = 7, y = 4
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