Determine Which Ordered Triple Below Is a Solution of the System

question 46

Multiple Choice

Determine which ordered triple below is a solution of the system of linear equations. $\left\{ \begin{array} { r } 3 x - 3 y - 3 z = 3 \\x - 3 y - 3 z = 7 \\2 x - 3 y - 3 z = 5\end{array} \right.$
$( - 4,1 , - 2 ) , ( 1 , - 4 , - 2 ) , ( - 4 , - 2,1 ) , ( - 2,1 , - 4 )$ or $( 1 , - 2 , - 4 )$

• A) \(( 1 , - 2 , - 4 )\)
• B) \(( 1 , - 4 , - 2 )\)
• C) \(( - 2,1 , - 4 )\)
• D) \(( - 4 , - 2,1 )\)
• E) \(( - 4,1 , - 2 )\)

---

Definitions:

Industry

The sector of economy characterized by the production and manufacturing of goods or provision of services.

Cost-Benefit Analysis

An analytical process to compare the costs and benefits of decisions, projects, or policies.

Prevention

Activities or measures taken to avoid or minimize unwanted outcomes or accidents before they happen.

Reduction

The process of decreasing or lessening in size, quantity, or magnitude.