0580/13 May/Jun 2022, Question 23: Simultaneous Equations by Elimination
Cambridge IGCSE Mathematics 0580 · Paper 13 (Core) · Calculator · 3 marks
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The question, in short
Solve the simultaneous equations 4x − 3y = 26 and 5x + 6y = 13, showing all working.
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Solution · 3 marks
- 1Double the first equation: 8x − 6y = 52
- 2Add to 5x + 6y = 13: 13x = 65, so x = 5
- 34 × 5 − 3y = 26, so −3y = 6, y = −2
- 4x = 5, y = −2
Answerx = 5, y = −2
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Also searched as: 0580/13/M/J/22 · 0580_s22_qp_13 · 0580 s22 13 · question 23.
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