WMA11/01 Oct 2020, Question 4: Simultaneous Equations with a Curve
Pearson Edexcel International AS Level Mathematics · Pure Mathematics 1 (WMA11) · Calculator · 7 marks
The question, in short
Solve the simultaneous equations y − 3x = 4 and x² + y² + 6x − 4y = 4 using algebra, showing every stage of working.
Summarised in our own words. Use the official paper for the exact wording and any diagrams.
Solution · 7 marks
- 1y = 3x + 4
- 2x² + (3x + 4)² + 6x − 4(3x + 4) = 4
- 3x² + 9x² + 24x + 16 + 6x − 12x − 16 − 4 = 0, so 10x² + 18x − 4 = 0
- 45x² + 9x − 2 = 0, so (5x − 1)(x + 2) = 0
- 5x = 1/5 or x = −2
- 6y = 3(1/5) + 4 = 23/5; y = 3(−2) + 4 = −2
Answerx = 1/5, y = 23/5 and x = −2, y = −2
Stuck on a step? Read the free lesson: Simultaneous Equations with a Curve
Practise more simultaneous equations with a curve questions
Real XMA01 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 with a curve
Also searched as: WMA11 October 2020 · WMA11/01 · wma11 oct20 · IAS Maths Pure Mathematics 1 October 2020 · question 4.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.