What is the difference between consistent-coincident and consistent-independent?
The Consistent-coincident are intersecting the other lines arent
Inconsistent: there is no solution. Consistent: there is at least one solution. Independent: there is exactly one solution. Coincident: there is an infinite number of solutions.
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The following explanation deals with linear functions whose graphs are lines. Inconsistent: the graphs of the linear functions do not intersect. The lines are parallel. There is no solution. Consistent: the graphs do intersect, but they can intersect in one of two ways: 1) The two equations are really the same equation, and the graphs are the same line. This is coincident, and there is an infinite number of solutions. Every point on the line is a solution. 2) The two equations are independent, and they intersect at one single point. In this case there is exactly one solution.
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