Solving Equations Graphically (AQA AS Maths): Revision Note
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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](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/06/2.7.3-Solving-Equations-Graphically-Notes-Diagram-1.png)
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](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/09/2.7.3-Solving-Equations-Graphically-Notes-Diagram-2.png)
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](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/06/2.7.3-Solving-Equations-Graphically-Notes-Diagram-3.png)
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](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/06/2.7.3-Solving-Equations-Graphically-Notes-Diagram-4.png)
Examiner Tips and Tricks
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 Notes](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/06/2.7.3-Solving-Equations-Graphically-Example-Diagram-1.png)
![Solving Equations Graphically - Example Diagram 2](https://cdn.savemyexams.com/cdn-cgi/image/f=auto,width=3840/https://cdn.savemyexams.com/uploads/2020/06/2.7.3-Solving-Equations-Graphically-Example-Diagram-2.png)
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