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]