If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.

What is an example of a dependent equation?

Dependent system: The equations 3x+2y=6 3 x + 2 y = 6 and 6x+4y=12 6 x + 4 y = 12 are dependent, and when graphed produce the same line.

What does it mean when a system of equations is inconsistent?

A consistent system of equations has at least one solution, and an inconsistent system has no solution.