Question: Consider a 2 x 2 system of linear equations with two equations and two unknowns. These systems, in terms of their solution sets, can be:

Consider a 2 x 2 system of linear equations with two equations and two unknowns.

These systems, in terms of their solution sets, can be:

(1) Consistent and Independent,

(2) Consistent and Dependent,

(3) Inconsistent.

Question # 1

From a graphical perspective on a 2-D rectangular coordinate system, what would the graphs look like and how do they relate to each other for each of the three cases above.

Question # 2

From a matrix perspective, as you are simplifying the matrix to solve the system, how would you recognize, without necessarily completely solving the matrix, each of the three cases above.

FULL EXPLANATION WITH GRAPHS PLEASE. do not solve on paper

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