0580/11 May/Jun 2024, Question 22: Simultaneous Equations by Elimination
Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 3 marks
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The question, in short
Solve the simultaneous equations 6x + 2y = 29 and 3x − 4y = 17, showing all working.
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Solution · 3 marks
- 1Multiply the second equation by 2: 6x − 8y = 34
- 2Subtract from 6x + 2y = 29: 10y = −5, so y = −0.5
- 36x + 2 × (−0.5) = 29, so 6x = 30
- 4x = 5, y = −0.5
Answerx = 5, y = −0.5
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Also searched as: 0580/11/M/J/24 · 0580_s24_qp_11 · 0580 s24 11 · question 22.
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