### Tutorials on this page:

## 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.

#### Example in the video

Solve the simultaneous equations:

- [latex]2x + y = 5[/latex]

## 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.

#### Example in the video

Solve the simultaneous equations:

- [latex]5x + 2y = 17[/latex]

## 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.

#### Example in the video

Solve the simultaneous equations:

- [latex]2x – 3y = 0[/latex]

## 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.

#### Example in the video

Solve the simultaneous equations:

- [latex]x + 4y = 9[/latex]

## 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.

#### Example in the video

Solve the simultaneous equations:

- [latex]5x + 3y = 29[/latex]