1.
If the system of linear equations
2x+2ay+az=02x + 2ay + az = 0

2x+3by+bz=02x + 3by + bz = 0

2x+4cy+cz=02x + 4cy + cz = 0

where a,b,cRa, b, c \in \mathbb{R} are non-zero and distinct, has a non-zero solution, then