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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