Lemmara logoLemmaraWorked solution

4MA1/2HR Jan 2020, Question 7: Simultaneous Equations by Elimination

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 3 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Solve the simultaneous equations 3x + 5y = 6 and 7x − 5y = −11, showing clear algebraic working.

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

Solution · 3 marks

  1. 1Add the equations to remove y: 10x = −5
  2. 2x = −0.5
  3. 3Substitute into 3x + 5y = 6: −1.5 + 5y = 6
  4. 45y = 7.5, so x = −0.5, y = 1.5

Answerx = −0.5, y = 1.5

Stuck on a step? Read the free lesson: Simultaneous Equations by Elimination

Practise more simultaneous equations by elimination questions

Real 4MA1 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: 4MA1 2HR January 2020 · 4MA1/2HR · 4ma1 jan20 2hr · question 7.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.