Write the Augmented Matrix for the System of Equations $$\begin{array} { r } 4 x + 3 z = 33 \\9 y + 5 z = 42 \\6 x - 2 y + 8 z = 54\end{array}$$

question 42

Multiple Choice

Write the augmented matrix for the system of equations.
- $$\begin{array} { r } 4 x + 3 z = 33 \\9 y + 5 z = 42 \\6 x - 2 y + 8 z = 54\end{array}$$

• A)
• \(\left[ \begin{array} { r r r | r } 4 & 0 & 6 & 33 \\ 0 & 9 & - 2 & 42 \\ 3 & 5 & 8 & 54 \end{array} \right]\)
• B)
• \(\left[ \begin{array} { r r r | r } 4 & 3 & 0 & 33 \\ 9 & 5 & 0 & 42 \\ 6 & - 2 & 8 & 54 \end{array} \right]\)
• C)
• \(\left[\begin{array}{rrr|r}
• 4 & 3 & 0 & 33 \\
• 9 & 5 & 0 & 42 \\
• 6 & -2 & 8 & 54
• \end{array}\right]\)
• D)
• \(\left[ \begin{array} { r r r } 4 & 0 & 3 \\ 0 & 9 & 5 \\ 6 & - 2 & 8 \end{array} \right]\)

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Definitions:

Electron Transport System

A series of compounds that transfer electrons from electron donors to electron acceptors via redox reactions, generating ATP.

ATP

Adenosine triphosphate, a molecule used as the primary energy carrier in cells for metabolic processes.

NADPH

Nicotinamide adenine dinucleotide phosphate, a cofactor used in anabolic reactions, such as lipid and nucleic acid synthesis, which requires reducing power.

PGA

A common abbreviation with multiple meanings; in a biological context, it could refer to Phenylglyoxylic acid, otherwise, it's often used for Professional Golfers' Association.