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A consistent , independent system of equation is one that has at least one solution.It is independent because it has a single solution.

Step-by-step explanation:

The three types of systems of linear equations in two variables and three types of solutions.

An independent  system has exactly one solution pair (x,y). The point of intersection presents the single solution.

An inconsistent system has no solution.such equations will produce two parallel lines with no solution.

A dependent system has infinitely many solution.Such lines are coincident.

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