first of all, we should know the following definitions: if a system of equations has exactly one solution it is called independent if a system of equations has at least one solution it is called consistent if a system of equations has infinite solution it is called dependent in our case we have -2x - y = 9 3x -4y = -8 -11x= -28, x =28 /11 and y= 9-56/11 the system has at least one solution, the system is called consistent