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linear equations

Is this statement true?
 
An inconsistent system  of linear equations has NO solutions (s) and the line graphed will BE PARALLEL.

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Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
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Hi L;
I believe that in the Wyzant questions you presented, there was one set of two equations for which there was no solution.  The lines had the same slope, but different y-intercepts.  Therefore, the lines were parallel.  Henceforth, the statement is true.