1. Write a short paragraph comparing the three methods of solving systems of equations. Describe the advantages and disadvantages of each method.
2. Create systems of equations in two variables that have (a) no solution, (b) one distinct solution, and (c) infinitesolutions. Show that eachsystem has the indicated number of solutions by using a graph or solving the system.
3. When using Gaussian elimination to solve a system of linear equations, explain how you can recognize that the system has no solution. Give an example that illustrates your answer.