The problem asks us to select the correct statement regarding the solution to a system of equations, and then choose a valid explanation. Based on the image, the selected solution is: "There are infinitely many solutions." We then need to choose the best explanation from the options provided.

1. Problem Description

The problem asks us to select the correct statement regarding the solution to a system of equations, and then choose a valid explanation. Based on the image, the selected solution is: "There are infinitely many solutions." We then need to choose the best explanation from the options provided.

2. Solution Steps

* The selected answer is: "There are infinitely many solutions." This means that the equations representing the system are dependent, and their graphs coincide.

* We need to choose the statement that best explains the meaning of "There are infinitely many solutions".

* The first statement, "The graphs intersect at one point, so the solution is unique," describes a system with a unique solution, which is not our case.

* The second statement, "The graphs of the two equations never intersect," describes a system with no solutions.

* The third statement, "The graphs of the two equations represent the same line," describes a system with infinitely many solutions, because every point on the line satisfies both equations.

3. Final Answer

There are infinitely many solutions.

The graphs of the two equations represent the same line.