Consistent and independent
Step-by-step explanation:
x=5
y=6
-x-y+z=0
It is observed that, x and y are constant and as a result, z becomes constant as well:
-5 - 6 +z = 0z = 11
There is one solution to the system, lines intersect, so this is independent.
So the system can be classified as:
Consistent and independent