which system of linear equation has a graph consisting of parallel lines
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Graphically, the equations in a dependent system represent the same line. The equations in an inconsistent system represent parallel lines that never intersect. We can use methods for solving systems of equations to identify dependent and inconsistent systems: Dependent systems have an infinite number of solutions.
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Another type of system of linear equations is an inconsistent system, which is one in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no points common to both lines; hence, there is no solution to the system.
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