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What\'s the meaning of consistent, inconsistent, consistent (dependent)and coincidence.

Answer» Consistent Equations. - If we get a solution, then the pair of linear equations in two variables is called\xa0consistent\xa0equations.Inconsistent Equations - If we do not get a solution, then the pair of linear equations in two variables is called inconsistent equations.Consistent (dependent) Equations - If a system has at least one solution, it is said to be\xa0consistent\xa0. If a\xa0consistent\xa0system has exactly one solution, it is independent . If a\xa0consistent\xa0system has an infinite number of solutions, it is\xa0dependent . When you graph the equations, both equations represent the same line.Coincidence lines - If two\xa0lines are\xa0coincident\xa0then, they have infinite solution and pair of linear equations is consistent; If two\xa0lines are intersecting then, they have unique solution and pair of linear equations is consistent.


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