Solve the System $$\left\{ \begin{array} { l } x - y + z = 4 \\x + y + z = - 4 \\x + y - z = 0\end{array} \right.$$

question 52

Multiple Choice

Solve the system. If there is no solution or if the system's equations are dependent, so state.
- $$\left\{ \begin{array} { l } x - y + z = 4 \\x + y + z = - 4 \\x + y - z = 0\end{array} \right.$$

• A) no solution or \(\varnothing\)
• B) infinitely many solutions; dependent equations
• C) \(\{ ( 2 , - 4 , - 2 ) \}\)
• D) \(\{ ( 2 , - 2 , - 4 ) \}\)

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Definitions:

Rectal

Referring to the rectum.

Axillary

pertains to the armpit area, an anatomical region under the junction where the arm connects to the shoulder.

Oral

Relating to the mouth.

Rectal

Relating to, or situated near the rectum, the final straight portion of the large intestine that ends at the anus.