Which of the following conditions holds true for a system of equations to be consistent?

The correct option is: It should have one or more solutions

In linear algebra and mathematics, a system of equations is classified based on the number of solutions it possesses.
Specifically, we define the consistency of a system as follows:

1. Consistent System: A system of equations is said to be consistent if there is at least one set of values for the variables that satisfies all the equations simultaneously. In other words, a consistent system has one or more solutions. This includes:
• Systems with a unique solution (exactly one solution).
• Systems with infinitely many solutions.

2. Inconsistent System: A system of equations is said to be inconsistent if there is no set of values that satisfies all equations simultaneously. In other words, an inconsistent system has no solutions.

Therefore, the fundamental condition for a system of equations to be considered consistent is that it must have one or more solutions.