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Fill in the blanks. An inconsistent system of linear equations has____solutions and the lines graphed will______.
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An inconsistent system of linear equations has__no__solutions and the lines graphed will_be non-intersecting infinitely (parallel for 2d)
A inconsistent system of linear equations has NO solutions. If you imagine them as lines on a graph, having no solution, means that the 2 lines do not intersect. For 2 lines to not intersect, even if stretched to infinity, means that they must be PARALLEL to each other.
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