Solving Systems of Equations Chapter 3. System of Linear Equations 0 Consists of two or more equations. 0 The solution of the equations is an ordered.

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Solving Systems of Equations Chapter 3

System of Linear Equations 0 Consists of two or more equations. 0 The solution of the equations is an ordered pair (x,y) that makes each equation true. Solutions correspond to points where the graphs of the equations intersect.

Summary Chart of possibilities for graphs of two linear equations in two variables Graphs of Equations Slopes of LinesName of Systems of Equations Number of Solutions Lines intersectDifferent slopesConsistent & independent one Lines coincideSame slope, Same intercepts Consistent and dependent Infinite Lines parallelSame slope, different intercepts Inconsistentnone

Solving Systems 0 Graphing 0 Substitution method 0 Elimination method 0 Cramer’s Rule 0 Inverse Matrices 0 Gaussian Elimination (College Algebra)

Operations with Matrices 0 Perform basic matrix operations before learning about Cramer’s rule, Inverse Matrices and Gaussian Elimination.