1. An example of consistent and independent system of equation - The equations are said to be independent and consistent when they have solutions. If drawn on a graph the lines will cross one another at some point, e.g.

3x-2y=29

5x+6y=21

2. System of equations, which is easily solved by substitution

x+3y=6

4x-7y=12

3. System of equations, which is easily solved by elimination