Write the System of Linear Equations Represented by the Augmented $\left[ \begin{array} { r r r r | r } 1 & 1 & - 1 & 1 & - 3 \\ 0 & 1 & - 4 & 4 & 0 \\ 0 & 0 & 1 & 6 & 17 \\ 0 & 0 & 0 & 1 & 7 \end{array} \right]$

question 135

Multiple Choice

Write the system of linear equations represented by the augmented matrix. Use x, y, z, and, if necessary, w for the variables. Then use back-substitution to find the solution.
- $\left[ \begin{array} { r r r r | r } 1 & 1 & - 1 & 1 & - 3 \\ 0 & 1 & - 4 & 4 & 0 \\ 0 & 0 & 1 & 6 & 17 \\ 0 & 0 & 0 & 1 & 7 \end{array} \right]$

• A) \(\{ ( 93 , - 128 , - 25,7 ) \}\)
• B) \(\{ ( - 3,0,17,7 ) \}\)
• C) \(\{ ( - 5 , - 1,10,6 ) \}\)
• D) \(\{ ( 7 , - 25 , - 128,93 ) \}\)

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Definitions:

Intravenous (IV)

Pertaining to the administration of drugs or fluids directly into the vein.

Head Trauma

An injury to the head that can affect the scalp, skull, brain, or underlying tissue and blood vessels in the head.

Parenteral Nutrition (PN)

A method of feeding that bypasses the gastrointestinal tract, providing nutrition directly into the bloodstream through an intravenous solution.

Consistent Infusion Rate

The maintained regular flow rate of intravenous fluids or medications into a patient's bloodstream.