If the System Has Infinitely Many Solutions, Write the Solution $$\begin{array} { c } x + y - 2 z - 8 = 0 \\3 x + z + 6 = 0 \\2 x - y + 3 z + 14 = 0\end{array}$$

question 477

Multiple Choice

If the system has infinitely many solutions, write the solution set with x arbitrary.
- $$\begin{array} { c } x + y - 2 z - 8 = 0 \\3 x + z + 6 = 0 \\2 x - y + 3 z + 14 = 0\end{array}$$

• A) \(\{ ( x , - 7 x + 4 , - 3 x - 6 ) \}\)
• B) \(\{ ( x , 7 x + 4 , - 3 x - 6 ) \}\)
• C) \(\{ ( x , - 7 x - 4 , - 3 x - 6 ) \}\)
• D) \(\{ ( x , 7 x - 4 , - 3 x - 6 ) \}\)

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Definitions:

Infection

An occurrence where foreign microorganisms such as bacteria, viruses, and parasites begin to enter and multiply within the body where they are typically absent.

Surgical Site Infections

Infections that occur after surgery in the part of the body where the surgery took place, potentially causing significant complications.

Microorganisms

Tiny living organisms, often microscopic, such as bacteria, viruses, fungi, and protozoa, which can be beneficial or harmful.

SSI Classification

A system used to classify surgical site infections (SSIs) based on their severity and the specific area of the body affected.