Final answer:
We can determine that the systems have no solution by identifying contradictions or inconsistencies in the equations.
Step-by-step explanation:
We can tell from looking at the equations in cards 2 and 5 that the systems have no solution because they lead to a contradiction or inconsistency. In a system of equations, if the equations are inconsistent, it means that there is no solution that satisfies all the equations simultaneously. This can be determined by looking for conflicting information or contradictory conditions in the equations. For example, if one equation states that x = 2 and another equation states that x = 3, then there is no solution that can satisfy both equations at the same time.