Apply Gaussian Elimination to Systems Without Unique Solutions
Use Gaussian $$\begin{array} { r } 5 x + 2 y + z = - 11 \\2 x - 3 y - z = 17 \\7 x - y = 12\end{array}$$

question 18

Multiple Choice

Apply Gaussian Elimination to Systems Without Unique Solutions
Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists.
- $$\begin{array} { r } 5 x + 2 y + z = - 11 \\2 x - 3 y - z = 17 \\7 x - y = 12\end{array}$$

• A) \(\varnothing\)
• B) \(\{ ( 0 , - 6,1 ) \}\)
• C) \(\{ ( - 2,0 , - 1 ) \}\)
• D) \(\{ ( 1 , - 5,0 ) \}\)

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Definitions:

Adult Weight

The body weight of an individual when they have reached full growth and development, distinct from childhood or adolescent weights.

Biological Parents

The individuals from whom one inherits genetic material, typically conceptualized as the mother and father whose gametes fused to create a new organism.

Genes

Sequences of DNA that code for proteins and determine the characteristics or traits of an organism, playing a crucial role in inheritance.

Body Mass Index

A numeric measure that calculates body fat based on an individual's weight and height, often used to assess health risks related to weight.