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Which system type is a linear system with infinitely many solutions?InconsistentConsistent dependentInconsistent dependentConsistent independent

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We are asked which system type is a linear system with infinitely many solutions.

Inconsistent = No solution

Consistent independent = One solution

Consistent dependent = infinitely many solutions.

In a consistent dependent system, the lines are merged and they basically become the same line. Hence, every coordinate pair on the line is a solution to both lines.

Therefore, the correct answer is Consistent dependent.

A consistent dependent system is a linear system with infinitely many solutions.

User Lyubomir Velchev
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