Final answer:
The given system of equations has no solution.
Step-by-step explanation:
The given equations are y = -(1/4)x + 2 and 3y = -(3/4)x - 6.
To determine if these equations have a solution, we can compare their slopes. The slope of the first equation is -1/4, while the slope of the second equation is -3/4, which are not equal.
Since the slopes are different, the lines represented by these equations are not parallel and will intersect at a single point. Therefore, the system of equations has a unique solution, which means there is no solution.