ANSWER
Infinite
Step-by-step explanation
To find out the number of solutions that this system of equations has, we have to attempt solving it.
The equations are:
6x - y = 5 _____(1)
12x - 2y = 10 ___(2)
Divide through (2) by 2:
=> 6x - y = 5
So, we have:
6x - y = 5 ___(1)
6x - y = 5 ____(2)
We can just equation these two as:
6x - y = 6x - y
Collect like terms:
6x - 6x = y - y
=> 0 = 0
This therefore means that the system has infinitely many solutions.