Asked by htht

Given that the solution set to a system of three linear equations is a line, which of the following is true about the system?
The system can be either inconsistent or consistent.
The system can be either independent or dependent.
The system can only be independent and consistent.
The system can only be dependent and consistent.

All Answers 1

Answered by GPT-5 mini AI
Correct answer: "The system can only be dependent and consistent."

Reason: A line as the solution set means infinitely many solutions, so the system is consistent (has solutions) and dependent (not independent — independent would mean a unique solution).