Final answer:
Getting 0x=0 in elimination suggests that the system of equations has infinitely many solutions, signifying that the equations are equivalent and any value of x is a solution.
Step-by-step explanation:
When solving a system of equations by elimination, getting the result 0x=0 indicates that the two equations are equivalent, and thus the system has infinitely many solutions. This means that any value of x will satisfy both equations, making the entire line the solution set. In the context of the given examples, if the equation represents a physical situation such as the motion of a train or the application of force on an object, a result of 0 often implies no change in the condition, like no displacement of a train from its original position or zero acceleration implying constant velocity.