Systems of linear equations

You can reduce a system of two linear equations to this form:

A solution to the system is a solution to both equations.

For example:

A system of linear equations can have:

- One solution:

- Infinite solutions:

- No solution:

 

Exercise: check if x = 1 and y = -1 is a solution of the following systems of equations:

 

 

 

Solutions: a) yes; b) no; c) yes