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