Experts/ace (and people that know it for sure comment) brainiest marked to the first correct answer

I worked them out separately if I'm correct, then the order is:

x+5y=-2
x+5y=4  These are Inconsistent

y=3x+4
-2x+y=4   These are Consistent independent

3x+y=4
-6x-2y=-8 These are Coincident

Inconsistent lines=No solution
Coincident lines=exactly on top of each other
Consistent Independant= Solution, as they cross each other. 

~Hope this helps!