Consistent System
A system of linear equations is consistent if it has exactly one solution. Their graphs have one point of intersection. If the first slope and the second slope are the slopes of the lines, then the first slope is not equal to the second slope.
Inconsistent System
A system of linear equation is inconsistent if it has no solution. Their graphs are parallel. If the m1 and b1 are the slope and the y-intercept of one equation, and m2 and b2 are the slope and y-intercept of the other equation then m1=m2 and b1 is not equal to b2
Dependent System
A system of linear equations is dependent if it has infinitely many solutions. Their graphs are overlapping. If m1 and b1 are the slope and y-intercept of the first equation, and m2 and b2 are the slope and y-intercept of the other equation, then m1=m2 and b1=b2
Note: Systems of linear equations are also known as simultaneous equations because these equations represent a conjunction of conditions, which are to be satisfied "simultaneously"
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