EXPLANATION
Given the system of equations:
(1) 4x - 3y = 10
(2) 12x - 9y = 30
Multiplying (1) by 3:
3(4x-3y = 10) -----> 12x - 9y = 30
Subtracting (1) to (2):
12x - 9y = 30
12x - 9y = 30
-------------------------
0x -0y = 0
0 = 0
The system has infinitely many solutions ---> OPTION B