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2 years ago

Which classification best describes the following system of equations?

Mathematics

2 answers:

Illusion [34]2 years ago

5 0

Inconsistent and dependent

pochemuha2 years ago

3 0

Answer:

The correct option is c.

Step-by-step explanation:

The given equations are

$x-y-z=0$ .... (1)

$2x-y+2z=1$ ..... (2)

$x-y+z=-2$ .... (3)

Subtract equation (3) form equation (1).

$-2z=2$

$z=-1$

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

$x-y-(-1)=0$

$x-y=-1$ .... (4)

$2x-y+2(-1)=1$

$2x-y=3$ ..... (5)

Subtract equation (5) from equation (4).

$x=4$

$y=5$

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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