Lemmara logoLemmaraWorked solution

0580/31 May/Jun 2026, Question 8: Solving Linear Equations

Cambridge IGCSE Mathematics 0580 · Paper 31 (Core) · Calculator · 3 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Solve two linear equations for x: one with a single x term, one with an x coefficient and constant.

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

Part (a) · 1 mark

Find the value of x satisfying 6 + x = 2.

  1. 1x = 2 − 6
  2. 2x = −4

Answer−4

Part (b) · 2 marks

Find the value of x satisfying 5x + 2 = 18.

  1. 15x = 18 − 2
  2. 25x = 16
  3. 3x = 16/5 = 3.2

Answer3.2

Stuck on a step? Read the free lesson: Solving Linear Equations

Practise more solving linear equations 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 solving linear equations

Also searched as: 0580/31/M/J/26 · 0580_s26_qp_31 · 0580 s26 31 · question 8.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.