1. The problem states that Trevor is solving a system of equations by elimination and after adding the equations, both variables cancel out, leaving the statement $0=0$. 2. When solving systems of equations, if elimination leads to a true statement like $0=0$, it means the two equations are dependent, representing the same line. 3. This implies the system has infinitely many solutions because every point on the line satisfies both equations. 4. If graphed, the lines would lie exactly on top of each other, confirming infinite solutions. 5. Therefore, the correct interpretation is that the system has infinitely many solutions and the lines coincide.