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Complete the following steps: Create a system of linear equations that is consistent. graph your system...

Complete the following steps: Create a system of linear equations that is consistent.

graph your system of linear equations.

Determine the number of solutions of your system.

Create a system of linear equations that is inconsistent.

graph your inconsistent system of linear equations.

Create a system of linear equations that is dependent.

graph your dependent system of linear equations

. Part II: Based on your work in Part I, discuss the following: Discuss how you can verify that the system you created is consistent. Discuss what options there are for the number of intersection points of two lines and how they relate to the number of solutions to its system. Discuss the characteristics that are shared by all graphs of inconsistent systems of linear equations. How does the graph of the dependent system reflect the algebraic finding that the system is dependent? How does being a dependent system affect the number of solutions the system has? What type of real-world scenarios could the graph of a linear system model? What do you look for in a real-world scenario that can be modeled by a linear system? Set up, but do not solve, a word problem with real-world context that can be modeled using a linear system of equations. Then answer the following: What would it mean in the context of your problem if the linear system is dependent? What would it mean in the context of your problem if the linear system is inconsistent?

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