Solving Systems of Equations

We have been learning about solving systems of equations.  When solving systems, the goal is to find out what value for the variables will satisfy both equations.  We have learned the various methods to accomplish this.  First, you can graph the two equations to find their solution.  Second, you can isolate one variable and use substitution.  Lastly, you can use the elimination method by subtracting the two equations. Pick one method to describe and provide an example of a system when you would use it.