- Solve by elimination
- Same x terms
- Same y terms but opposite signs
- Same y terms but both signs are negative
- Same y terms but both signs are positive
- Neither x term nor y term are the same
- Substitution methods (Quadratic SImultaneous)
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.
In these tutorials you are shown how to solve a simultaneous equation by the substitution method. You are also shown how it relates to the intersection of two graphs and why there are two sets of solutions.