Which classification best describes the following system of equations?

x-y-z=0
2x-y 2z=1
x-y z=-2

a: inconsistent and dependent
b: consistent and dependent
c: consistent and independent
d: inconsistent and independent

The correct option is c.

Step-by-step explanation:

The given equations are

                 .... (1)

            ..... (2)

              .... (3)

Subtract equation (3) form equation (1).

The value of z is -1. Put this value in equation (1) and (2).

               .... (4)

           ..... (5)

Subtract equation (5) from equation (4).

The solution of given system of equations is (4,5,-1). It is a unique solution.

Therefore the given system of equations is consistent and independent. Option c is correct.

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the correct answer is d

hope this