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