Elimination method for linear equations

Introduction

This is an introduction to solving simultaneous equations by the method of elimination.

x terms are the same

In the next example only the x terms are the same.

y terms the same but with opposite signs

In this example the two equations have the same y terms but with opposite signs.

Care must be taken over the signs as mistakes can easily be made.

y terms are the same and both signs are negative

In this example the y terms are exactly the same and both signs are negative.

Care must be taken over the signs as mistakes can easily be made.

y terms are the same and both signs are positive

In this example the y terms are exactly the same and both signs are positive.

Neither the x or y terms are the same

In this example neither the x or y terms are the same so an adjustment needs to be made.