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Section 1.1: Systems of Linear Equations A linear equation: a1x1 ...

Section 1.1: Systems of Linear Equations A linear equation: a1x1 ...

Section 1.1: Systems of Linear Equations A linear equation: a1x1 ...

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The solution set: The set <strong>of</strong> all possible solutions <strong>of</strong> a <strong>linear</strong> system.Equivalent systems: Two <strong>linear</strong> systems with the same solution set.STRATEGY FOR SOLVING A SYSTEM: Replace one system with an equivalent system that iseasier to solve.EXAMPLE:x 1 2x 2 1x 1 3x 2 3x 1 2x 2 1x 2 2x 1 3x 2 24

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