Solve the System A) $\left\{ \left( - \frac { 1 } { 7 } , - \frac { 1 } { 3 } , - \frac { 1 } { 7 } \right) \right\}$

question 59

Multiple Choice

Solve the system.
- $\begin{array}{l}\frac{8}{x}-\frac{1}{y}+\frac{3}{z}=-\frac{8}{21} \\-\frac{1}{x}+\frac{5}{y}-\frac{8}{z}=-\frac{8}{3} \\\frac{6}{x}-\frac{1}{y}-\frac{1}{z}=-\frac{2}{3}\end{array}$

• A) \(\left\{ \left( - \frac { 1 } { 7 } , - \frac { 1 } { 3 } , - \frac { 1 } { 7 } \right) \right\}\)
• B) \(\left\{ \left( - \frac { 1 } { 7 } , - \frac { 1 } { 3 } , \frac { 1 } { 7 } \right) \right\}\)
• C) \(\{ ( - 7 , - 3 , - 7 ) \}\)
• D) \(\{ ( - 7 , - 3,7 ) \}\)

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Definitions:

Range

The difference between the highest and lowest values in a data set, giving an indication of the data's dispersion or variability.

Median

The middle value in a set of numbers, which separates the higher half from the lower half.

Standard Deviation

A statistical metric that quantifies the spread or variability of a dataset, highlighting how far individual measurements deviate from the dataset's mean on average.

Mean

The average of a set of numerical values, calculated by adding them together and dividing by the number of values.