systems of linear equations

There are methods to convert a system of equations into an equation with just one unknown. You can solve it graphically, too.

The main methods to solve linear systems are:

–The graph method

–The substitution method

–The algebraic equation method

–The elimination method

You have to work out one unknown in one equation and substitute it in the other.

 

Example 1:

 

 

Example 2:

 

 

 

algebraic equation method

 

You have to work out one unknown in both equations and equalize.

 

Example 1:

 

 

Example 2:

 

 

elimination method

 

You have to remove one unknown in one equation by combining the two equations.

 

Example 1:

 

 

Example 2:

 

 

 

Exercise. Solve the following systems by using the four methods:

 

 

 

You can check the solutions by using this application: