if the lines representing a pair of linear equations in two variables are parallel then the equation have no solution.
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two lines are parallel then, they have no solution pair of linear equations is inconsistent; If two lines are coincident then, they have infinite solution and pair of linear equations is consistent; ... Thus the two lines come to intersect at a point (a, b).
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If two lines are parallel then, they have no solution pair of linear equations is inconsistent; If two lines are coincident then, they have infinite solution and pair of linear equations is consistent; If two lines are intersecting then, they have unique solution and pair of linear equations is consistent.
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