Algebra Series - Concepts and Formulas™
Solutions of Systems of Linear Equations in Three Variables (ALG-CF14)
This sheet provides a comprehensive review of all of the most important topics, concepts and formulas spanning solutions of systems of linear equations in three variables, explained in detail, with detailed illustrations. Unlike charts and notes, this Concepts and Formulas™ sheet anticipates and answers questions about how to use the concepts - how to solve problems with them, it doesn't just list facts and formulas.
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- Three-variable linear systems of equations
- A graphical perspective
- How to solve a three-variable linear system by graphing
- How to solve a three-variable linear system by substitution
- Back Substitution
- Elementary system operations
- How to solve a three-variable linear system by elimination
- Three-variable linear equations in standard form
- Systems of equations in upper triangular form
- Systems of equations in echelon form
- Gaussian elimination
- How to solve a three-variable linear system by Gaussian elimination
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Graphing Fundamentals 2 - Symmetries, Intercepts, Zeros and Slopes (ALG-CF10)
Graphing Fundamentals 3 - Maxima and Minima, Lines and Translations (ALG-CF11)
Solutions of Systems of Linear Equations and Inequalities in Two Variables 1 (ALG-CF12)
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