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Systems of Equations (Categorizing) There is a solution There is no solution CONSISTENT Dependent Independent Infinite Solutions Exactly One Solution (Coinciding) INCONSISTENT (Intersecting) Independent No Solution (Parallel) Consistent I Inconsistent tells you if there is a solution or not. Independent I Dependent tells you how many lines there are: Independent = 2 separate lines Dependent = 1 line (HINT: Coinciding lines are actually the same line) The Academic Support Center at Daytona State College (Math 27 pg 1 of 2) SYSTEMS OF TWO EQUATIONS (Solutions) Where are the equations - or lines - touching? Three Scenarios: Intersecting Lines Coinciding Lines Parallel Lines Touching in one place Touching everywhere Never touching Independent Dependent Independent Consistent Consistent Inconsistent One solution Infinite solutions No solution You will get an xvalue and a y-value, such as: You will get an answer that looks something like: You will get an answer that makes no sense, such as: x = 5 and y = –2 0 = 0 or 2 = 2 The Academic Support Center at Daytona State College (Math 27 pg 2 of 2) O=4