0580/11 Oct/Nov 2024, Question 22: Simultaneous Equations by Elimination
Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 3 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Solve the simultaneous equations 5x + 6y = 9 and 3x − 2y = −17, showing all working.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 3 marks
- 1Multiply the 2nd equation by 3: 9x − 6y = −51
- 2Add to 5x + 6y = 9: 14x = −42 → x = −3
- 33 × (−3) − 2y = −17 → −2y = −8 → y = 4
- 4x = −3, y = 4
Answerx = −3, y = 4
Stuck on a step? Read the free lesson: Simultaneous Equations by Elimination
Practise more simultaneous equations by elimination questions
Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on simultaneous equations by elimination
Also searched as: 0580/11/O/N/24 · 0580_w24_qp_11 · 0580 w24 11 · question 22.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.