For the System $\left\{ \begin{array} { l } 3 x + y + z = 0 \\x - 2 y + 5 z = 14 \\x + y - 5 z = - 12\end{array} \right.$

question 51

Multiple Choice

For the system $\left\{ \begin{array} { l } 3 x + y + z = 0 \\x - 2 y + 5 z = 14 \\x + y - 5 z = - 12\end{array} \right.$ , $D _ { x } = 0$ , $D _ { y } = - 56$ , and $D = 28$ . What is the solution of the system?

• A) \(\left( \frac { 1 } { 2 } , - \frac { 1 } { 2 } , 2 \right)\)
• B) \(( 0,2,2 )\)
• C) \(( 0 , - 2,2 )\)
• D) none of these

---

Definitions:

Descriptive

Relating to the process of describing, illustrating, or detailing the characteristics of a dataset.

Average Age

The mean age of a group of individuals, calculated by dividing the sum of their ages by the number of individuals.

Median

The middle value in a data set, which divides the data into two halves.

Descriptive Statistics

Statistical measures that summarize and describe the features of a collection of information, such as mean, median, and mode.