DescriptionsforSystemofLinearEquations

DescriptionsforSystemofLinearEquations - The two equations...

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Descriptions for System of Linear Equations INDEPENDENT: The two equations represent different lines ( not the same equation ). The solution may be one ordered pair (if lines intersect) or no ordered pair (if lines are parallel). DEPENDENT: The two equations represent the same line ( same equation ). The solution is an infinite number of ordered pairs; every ordered pair on the line. CONSISTENT:
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Unformatted text preview: The two equations do have a solution ; either 1 ordered pair or an infinite number of ordered pairs. INCONSISTENT: The two equations do not have a solution in common. A system representing intersecting lines would be consistent and independent. A system representing the same line would be consistent and dependent. A system representing parallel lines would be inconsistent and independent....
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