What are two ways to solve a system of equations? Write your own system of equations

1) What are two ways to solve a system of equations? Write your own system of equations and explain how to solve it using each method.
Write a system of equation problem for your classmates to solve. Return to the forum and solve your classmates' problems using one of the two methods you are learning about this week.

2) When working with systems, there are several different outcomes. What are the possible outcomes that you can get when solving a system of equations and how many solutions does each one have? Please be specific and use examples.