The system of equations is consistent and independent. It has a unique solution where the two lines intersect. The slopes of the lines are different, ensuring they intersect at a single point. The correct answer is option A.
The given system of equations consists of two linear equations. Inconsistent systems have no common solution, while dependent systems have infinitely many solutions. In this case, the system is consistent, indicating that there is a solution.
Additionally, the system is independent because the two equations represent distinct lines with different slopes. This implies that the lines intersect at a single point, providing a unique solution for both variables. Therefore, the correct characterization is consistent and independent. The unique solution can be found by solving for the values of x and y that satisfy both equations simultaneously.
This type of system is common when dealing with linear equations that intersect at a specific point in the coordinate plane.
Therefore, option A is correct.