When is a system consistent?
When it has either exactly one solution or infinitely many solutions.
A system is consistent when all the equations and constraints in that system can be true simultaneously. It means that there exists at least one solution that can satisfy all the given equations and constraints in a system. In a consistent system, no two equations or constraints will contradict each other, and all the unknown variables will have values that satisfy all the equations and constraints. If a system has no solution or multiple solutions, it is considered inconsistent. Consistency is a critical aspect of any mathematical or technical calculation, and it is crucial to ensure that a system is consistent before making any decisions or drawing any conclusions from it.
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