### 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:

- 2x + 3y = 7

2x + y = 5

## 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:

- 3x – 2y = 7

5x + 2y = 17

## 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:

- 4x – 3y = 6

2x – 3y = 0

## 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:

- 5x + 4y = 13

x + 4y = 9

## 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:

- 7x – 2y = 22

5x + 3y = 29