Use Cramer's Rule to Find the Solution of the System $$\left\{ \begin{array} { c } x - y - z = 2 \\x + y + z = 18 \\- x - y + z = - 12\end{array} \right.$$

question 23

Multiple Choice

Use Cramer's rule to find the solution of the system, if possible. $$\left\{ \begin{array} { c } x - y - z = 2 \\x + y + z = 18 \\- x - y + z = - 12\end{array} \right.$$

• A) \(\quad x = 3 , y = 5 , z = 10\)
• B) \(\quad x = 5 , y = 10 , z = 3\)
• C) \(x = 10 , y = 5 , z = 3\)
• D) The system is inconsistent.
• E) The equations are dependent.

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