Solve the System $$\begin{array} { l } 3 x + 2 y + z = 4 \\2 x - 3 y - z = 5 \\5 x + 12 y + 5 z = 2\end{array}$$

question 425

Multiple Choice

Solve the system. If the system has infinitely many solutions, write the solution set with x arbitrary.
- $$\begin{array} { l } 3 x + 2 y + z = 4 \\2 x - 3 y - z = 5 \\5 x + 12 y + 5 z = 2\end{array}$$

• A) \(\{ ( x , - 5 x - 9 , - 13 x + 22 ) \}\)
• B) \(\{ ( x , - 5 x + 9 , - 13 x + 22 ) \}\)
• C) \(\{ ( x , 5 x - 9 , - 13 x + 22 ) \}\)
• D) \(\{ ( x , 5 x + 9 , - 13 x + 22 ) \}\)

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Definitions:

Wage Discrimination

The practice of paying different wages to employees who perform similar work, based on non-performance-related factors such as race, gender, religion, or national origin.

Discrimination Coefficient

A measure used in various disciplines to quantify the degree of discrimination or bias present in a particular process or decision-making system.

Nonwhite Worker

A term that categorizes employees based on racial or ethnic identities other than white.

Taste For Discrimination Model

An economic model that explains how personal biases and preferences can lead to discrimination in hiring, wages, and employment practices.