Using the elimination method, multiply the first equation by 60 and the second one by 30 (least common denominators)
30x-45y=11...(1)
12x+5y=9...(12)
Multiply the second equation by 9, to eliminate y
30x-45y=11
+ 108x+45y=81
———————-
138x=92
x=92/138 (reduce fraction with 46)
x=2/3
Substitute x=2/3 into equation 2
12(2/3x)+5y=9
y=1/5
Therefore, the solution to the system is C. (2/3, 1,5)
