ASMaths: PureOCRRevision Notes2. Algebra & Functions2.6 Graphs of Functions2.6.3 Solving Equations Graphically

Solving Equations Graphically (OCR AS Maths: Pure)

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Solving Equations Graphically

Solving (simultaneous) equations graphically

Solving Equations Graphically Notes Diagram 1, A Level & AS Level Pure Maths Revision Notes

 

  • This is a way to solve simultaneous equations (see Simultaneous Equations)
  • Coordinates of the intersections are the solutions

 

How do I solve simultaneous equations using a graph?

Solving Equations Graphically Notes Diagram 2, A Level & AS Level Pure Maths Revision Notes

 

  • Use graphs and algebra together
  • Sketch a graph if it has not been given
  • Read/interpret a graph if it has been given

 

Solving Equations Graphically Notes Diagram 3, A Level & AS Level Pure Maths Revision Notes

  • It can be difficult to tell from a sketch if graphs intersect once, more, or not at all

 

Solving Equations Graphically - Notes Diagram 4, A Level & AS Level Pure Maths Revision Notes

Examiner Tip

When writing out your solutions to simultaneous equations, always pair the correct x solution with the correct y solution

Worked example

Solving Equations Graphically - Example Diagram 1, A Level & AS Level Pure Maths Revision NotesSolving Equations Graphically - Example Diagram 2

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    Paul

    Author: Paul

    Expertise: Maths

    Paul has taught mathematics for 20 years and has been an examiner for Edexcel for over a decade. GCSE, A level, pure, mechanics, statistics, discrete – if it’s in a Maths exam, Paul will know about it. Paul is a passionate fan of clear and colourful notes with fascinating diagrams – one of the many reasons he is excited to be a member of the SME team.