Question

Which classification describes the following syastem of equations? x=5 y=6 -x - y +z = 0

Answer 1

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

$x=5$ ----> equation A

$y=6$ ----> equation B

$-x-y+z=0$ ----> equation C

substitute equation A and equation B in equation C

$-5-6+z=0$

Solve for z

$z=11$

The solution is the point (5,6,11)

The system has only one solution

therefore

Is a consistent independent system