A group of students were discussing systems of linear equations. The following claims were made by two of the students:
(a) If the system has the same number of equations as variables, then the system has a unique solution.
(b) If the system has fewer equations than variables, then the system has an infinite number of solutions.
(c) If the system has more equations than variables, then the system has no solution. Which, if any, of these claims are correct? Explain and support your response with examples.
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