Simultaneous Equations

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Simultaneous Equations

• Flavian Brian Fernandez (06)

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Objectives

• What are simultaneous equations?
• Uses / applications of simultaneous equations
• The Elimination Method
• The Substitution Method
• Summary

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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

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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!!

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Simultaneous equations

• So, how do we solve them?
• The Elimination Method
• The Substitution Method
• The Graphical Method
• Matrices??..

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The Elimination Method

• Try page 1 of Worksheet 2 yourselves first
• Interactive Online Applet
• Complete Worksheet 2
• Discussion

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The Substitution Method

• Try page 1 of Worksheet 3 yourselves first
• What can you conclude?
• Complete Worksheet 3
• Discussion

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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