Solving a 3X3 Linear Types

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Consistent systems

One ore more solutions

Independent systems

Zero or one solutions

To solve a 3X3 system:

1) use elimination or substitution to reduce a 3X3 system to a 2X2 system. 2) Solve the 2X2 system, then substitute these values back into an original equation to determine the value of the other variable. 3) Check that the ordered pair satisfies all three equations.

Dependent systems

Infinite solutions

Inconsistent systems

No solutions


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