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Solving Systems of Equations Chapter 3
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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.
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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
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Solving Systems 0 Graphing 0 Substitution method 0 Elimination method 0 Cramer’s Rule 0 Inverse Matrices 0 Gaussian Elimination (College Algebra)
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Operations with Matrices 0 Perform basic matrix operations before learning about Cramer’s rule, Inverse Matrices and Gaussian Elimination.
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