Answer:
Is a consistent independent system
Step-by-step explanation:
we know that
If a system has at least one solution, it is said to be consistent .
If a consistent system has exactly one solution, it is independent .
If a consistent system has an infinite number of solutions, it is dependent
If a system not have solution, it is said to be inconsistent
we have
[tex]x=5[/tex] ----> equation A
[tex]y=6[/tex] ----> equation B
[tex]-x-y+z=0[/tex] ----> equation C
substitute equation A and equation B in equation C
[tex]-5-6+z=0[/tex]
Solve for z
[tex]z=11[/tex]
The solution is the point (5,6,11)
The system has only one solution
therefore
Is a consistent independent system
