Final answer:
An inconsistent system occurs when the equations in a system are contradictory and cannot be satisfied simultaneously.
Step-by-step explanation:
The justification for a solution of an equation having no solution is called an inconsistent system. This occurs when the equations in the system are contradictory and cannot be satisfied simultaneously. In other words, there is no value or set of values that can make all the equations true at the same time.
For example, if we have the following system of equations:
2x + 3y = 5
4x + 6y = 8
These equations are inconsistent because there is no solution that can satisfy both of them. No matter what values we choose for x and y, the two equations will never be true at the same time.