### 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:

## 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:

## 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:

## 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:

## 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:

ThomasSeptember 8, 2016 at 7:05 pmWhy add and not subtract?

Sean PanditharatnaSeptember 14, 2016 at 4:58 pmIf you are talking about when you make the y’s the same then it is because, if the two things are the same sign then you subtract but if they are of different signs (+6y & -6y) then you add.

ThomasSeptember 14, 2016 at 5:01 pmThanks,

HAS THE LICENSE BEEN RENEWED FOR MATHS.

ExamSolutionsSeptember 16, 2016 at 5:37 amwhat do you mean when you say “Has the license been renewed for maths”?

Rohan PatelSeptember 20, 2016 at 5:09 pmthis is vey helpful Exam soltions thank you..

Zara DaylOctober 20, 2016 at 6:34 pmAbsolutely amazing. Thankyou

hafzahOctober 29, 2016 at 5:43 pmThank you so much. These videos are great!!

HabibullahNovember 1, 2016 at 10:40 amHi examsolutions,

I am in year 7 and i know how to do simultaneous equations and linear equations.I was just wandering if simultaneous equations and linear equations are the same?

Stuart the ExamSolutions GuyNovember 2, 2016 at 8:21 amIn simultaneous equations you have more than one unknown variable to find, say x and y. In an equation you will have one variable to find, say just x. Equations in one variable can take on many forms, linear, quadratic, cubic …to name but a few.

anmol shahidJanuary 10, 2017 at 8:47 pmExtremely helpful. So glad i found this website