Methods of Solving Systems of Equations : Pros and Cons

Systems of equations can be solved by graphing or by using substitution or elimination.

What are the pros and cons of each method?
Which method do you like best?  Why?
What circumstances would cause you to use a different method?

Consider responding to your classmates by indicating pros and cons they may not have considered or persuading them to see the value of the method you like best (if you chose different methods).  Describe situations in which you might use their methods of solving.