Solve the System $\begin{array} { l } - 2 x - y + 4 z = - 3 \\- 2 x + 5 y - 9 z = 14 \\8 x - 8 y + z = - 31\end{array}$

question 144

Multiple Choice

Solve the system.
$\begin{array} { l } - 2 x - y + 4 z = - 3 \\- 2 x + 5 y - 9 z = 14 \\8 x - 8 y + z = - 31\end{array}$

• A) \(\{ ( 1,5,1 ) \}\)
• B) \(\{ ( 1,1,5 ) \}\)
• C) \(\varnothing\)
• D) \(\{ ( - 1,5,2 ) \}\)

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Definitions:

Female/Male Earnings Ratio

A measure comparing the average earnings of female workers to those of male workers, often utilized to highlight gender pay gaps in the workforce.

Law of Diminishing Returns

An economic principle stating that if one factor of production is increased while others remain constant, the overall returns will eventually decrease after a certain point.

Marginal Cost

The financial outlay for making one extra unit of a product or service.

Capitalist Economy

An economic system where private individuals or businesses own capital goods, and the production of goods and services is based on supply and demand.