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If the ordered a pair (6,2) is the solution to the system, what does that mean?

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It means that the point (6,2) is on both graphs at the same time. In short, it is the intersection point of the two graphs.

Algebraically, the ordered pair (x,y) = (6,2) makes all of the equations in the system to be true equations. A true equation is one where it simplifies to have the same number on both sides.

A system with at least one solution is considered a consistent system. If there is only one solution, then the system is also considered independent.

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