Lemmara logoLemmaraWorked solution

0580/11 May/Jun 2021, Question 21: 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 2x + y = 3 and x − 5y = 40, showing all working.

Summarised in our own words. Use the official paper for the exact wording and any diagrams.

Solution · 3 marks

  1. 1From 2x + y = 3: y = 3 − 2x
  2. 2x − 5(3 − 2x) = 40
  3. 3x − 15 + 10x = 40, so 11x = 55
  4. 4x = 5, y = 3 − 10 = −7
  5. 5x = 5, y = −7

Answerx = 5, y = −7

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 Lemmara

More past-paper questions on simultaneous equations by elimination

Also searched as: 0580/11/M/J/21 · 0580_s21_qp_11 · 0580 s21 11 · question 21.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.