Which system is the only inconsistent system?

a)2x=y+3, 2y-4x=-6
b) y=x+4,y=2x+4
c)y=x, y=-x
d) y=4x-3, y=4x+3

The only inconsistent system is d) y=4x-3, y=4x+3. This is because the two equations represent parallel lines with the same slope but different y-intercepts, so they never intersect.