Answer:
Option C. The system of the equations has no solution; the two lines are parallel.
Step-by-step explanation:
we have
-3x+4y=12 -----> equation A
(1/4)x-(1/3)y=1 ----> equation B
Multiply equation B by -12 both sides
-12*[(1/4)x-(1/3)y]=1*(-12)
-3x+4y=-12 ----> equation C
Compare equation A and equation C
The lines are parallel , but the y-intercepts are different
therefore
The system has no solution
