Simultaneous Equations

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Presentation transcript:

Simultaneous Equations Flavian Brian Fernandez (06)

Objectives What are simultaneous equations? Uses / applications of simultaneous equations The ‘Elimination’ Method The ‘Substitution’ Method Summary

Simultaneous equations What do we mean by a pair of simultaneous equations with a unique solution? It refers to two equations involving two unknown variables which have the same solution

Simultaneous equations Why do we need to learn how to solve them? See Worksheet 1 Simultaneous equations crop up in most scientific domains. However, we DO come across simultaneous equations even in our daily lives!!

Simultaneous equations So, how do we solve them? The Elimination Method The Substitution Method The Graphical Method …Matrices??..

The Elimination Method Try page 1 of Worksheet 2 yourselves first… Interactive Online Applet Complete Worksheet 2… Discussion

The Substitution Method Try page 1 of Worksheet 3 yourselves first… What can you conclude? Complete Worksheet 3… Discussion

Summary We have only seen two of the four possible ways of solving simultaneous equations. These are valuable tools that give us choices when solving simultaneous equations  must know both methods well!! Concept Map