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If a system is inconsistent it cannot have any solutions.

A system of equations is considered inconsistent when the lines are parallel which means they never intersect so there are no solutions.

A system is considered consistent when they intersect at one point and have one solution (Also known as an independent system of equations).

Dependent Systems are when the lines coincide (the same equation) so they have an infinite number of solutions.

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Q: How many solutions does an inconsistent system of equations have?
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