given that (1, 0, 1) is a solution to a system of three linear equations, which of the following is true…

given that (1, 0, 1) is a solution to a system of three linear equations, 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 inconsistent.

given that (1, 0, 1) is a solution to a system of three linear equations, 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 inconsistent.

Answer

Brief Explanations:

A system of linear equations is consistent if it has at least one solution. Since (1, 0, 1) is a solution, the system is consistent. A consistent system can be either independent (has a unique solution) or dependent (has infinitely many solutions). We don't have enough information to determine if it's independent or dependent.

Answer:

The system can be either independent or dependent.