Final answer:
The system of equations has infinite solutions.
Step-by-step explanation:
To determine how many solutions the system of equations has, we can solve the equations and see if there is a unique solution, no solution, or infinitely many solutions.
First, we can simplify the second equation by dividing both sides by 2: 6x - 10y = 3 (1)
Now, we can see that equation (1) is the same as the first equation, which means the two equations represent the same line. Therefore, the system of equations has infinite solutions (c).