SYSTEMS OF LINEAR EQUATIONS College Algebra. Graphing and Substitution Solving a system by graphing Types of systems Solving by substitution Applications.

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Presentation transcript:

SYSTEMS OF LINEAR EQUATIONS College Algebra

Graphing and Substitution Solving a system by graphing Types of systems Solving by substitution Applications

The Addition Method The addition method Equations involving fractions or decimals Applications

Systems in Three Variables Definition Solving a system by elimination Dependent and inconsistent systems Applications

Matrices The augmented matrix The Gauss-Jordon elimination method Dependent and inconsistent systems

Determinants and Cramer’s Rule Determinants Cramer’s rule (2 x 2) Minors Evaluating a 3 x 3 determinant Cramer’s rule (3 x 3)

Linear Programming Graphing the constraints Maximizing or minimizing