Geometrically describe a linear system in two variables. 1. Geometric sense of a linear system in two variables. Describe the possible cases.    

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Assuming we have two equations with two unknowns there are three possibilities; since the equations are linear they describe lines:

(1) The system could have a singular solution. The system is both consistent and the equations are independent.

Graphically this is two lines intersecting.

(2) The system could have no solution. The...

(The entire section contains 164 words.)

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