Simultaneous Equations and Graphs (Edexcel GCSE Maths): Flashcards

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Simultaneous equations and graphs
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12 cards from this deck

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Graphical method for simultaneous equations

Visual way to solve by plotting graphs & finding intersections

What intersection points represent

Solutions to the simultaneous equations

First step in basic graphical method

Draw both graphs accurately on same coordinate system

Second step in basic graphical method

Identify where the graphs cross each other

Intersection points for two linear equations

Exactly one point

What x2+y2=16x^2 + y^2 = 16 represents

Circle with centre at origin (0,0)(0,0) and radius 4

Solutions in linear-quadratic systems

Often two solutions (line crosses curve twice)

When one graph is given, what's the key step?

Rearrange equation to identify second graph needed

Why accuracy matters in graphical method

Inaccurate plotting leads to wrong intersection points

Points needed to draw a linear equation

Two points (but third as check is wise)

How to write solutions in coordinate form

As (x,y)(x, y) not xx and yy separately

Where to plot points for quadratic equations

Several points around the vertex

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