Which of the following is not a characteristic of an independent system?

An independent system is characterized by having exactly one unique solution. This means that the equations in the system intersect at exactly one point in the graph, which signifies that there is a single set of values for the variables that satisfy all the equations simultaneously.

Characteristics of an independent system include:

• A unique intersection point for lines represented by linear equations.

• Consistency, meaning that the equations do not contradict each other, allowing for a single answer rather than multiple or no solutions.

Given this understanding, the choice indicating infinite solutions is not a characteristic of an independent system. Instead, a system with infinite solutions is termed dependent, as the equations represent the same line or plane in a multi-dimensional space, hence they have an infinite number of intersection points.

In summary, the defining feature of an independent system is that it possesses exactly one solution, consistent equations, and it typically comprises linear equations. Therefore, the option referring to infinite solutions does not align with the definition of an independent system.