given that the solution set to a system of three linear equations is a line, which of the following is true…

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

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

Answer

Brief Explanations:

A consistent system has at least one solution. Since the solution - set is a line (i.e., infinitely many solutions), the system is consistent. In a system of linear equations, if the solution set is a line, the equations are not all independent (because there are infinitely many common solutions), so the system is dependent.

Answer:

The system can only be dependent and consistent.