Solve the System $$\begin{array} { l } - 4 x - 6 y - 5 z = 9 \\4 ( x + y ) + 3 z = x - 5 y + 9 \\6 ( x + y ) - 7 z = 2 x + 3 y + 18\end{array}$$

question 119

Multiple Choice

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent.
- $$\begin{array} { l } - 4 x - 6 y - 5 z = 9 \\4 ( x + y ) + 3 z = x - 5 y + 9 \\6 ( x + y ) - 7 z = 2 x + 3 y + 18\end{array}$$

• A) \(\{ ( 9,9,18 \} )\)
• B) \(\{ ( - 3,3 , - 3 ) \}\)
• C) Infinitely many solutions; dependent
• D) No solution; inconsistent

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Definitions:

Threatened

A feeling or condition of being under potential harm or danger, either physically, emotionally, or psychologically.

Bystander Effect

The tendency for bystanders in an emergency to help less often and less quickly as the number of bystanders present increases.

Explanations

Statements or accounts that make something clear, helping to understand the reasons or causes behind events or behaviors.

Negative-State Relief

A hypothesis suggesting individuals help others to alleviate their own negative moods or feelings.