Write the System of Equations Associated with the Augmented Matrix $\left[ \begin{array} { r r r | r } 6 & - 2 & 8 & 8 \\ - 4 & - 4 & 0 & 4 \\ 8 & 0 & 2 & - 5 \end{array} \right]$

question 375

Multiple Choice

Write the system of equations associated with the augmented matrix. Do not solve.
- $\left[ \begin{array} { r r r | r } 6 & - 2 & 8 & 8 \\ - 4 & - 4 & 0 & 4 \\ 8 & 0 & 2 & - 5 \end{array} \right]$

• A) \(6 x - 2 y + 8 z = 8\)
• \(- 4 x + \quad - 4 z = 4\)
• \(8 x + 2 y = - 5\)
• B) \(6 x - 2 y + 8 z = 8\)
• \(- 4 x - 4 y + 4 z = 0\)
• \(8 x + 2 y - 5 z = 0\)
• C) \(6 x - 2 y + 8 z = 8\)
• \(- 4 x - 4 y = 4\)
• \(8 x + 2 z = - 5\)
• D) \(6 x - 2 y + 8 z = 8\)
• \(- 4 x - 4 y = 4\)
• \(8 x + 2 y = - 5\)

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Definitions:

Stereochemistry

The study of the spatial arrangement of atoms in molecules and its influence on the physical and chemical properties of substances.

Solvolysis

A chemical reaction in which the solvent plays the role of a reactant, breaking bonds within the substrate molecule, often involving water or alcohol.

Methanol

A basic type of alcohol known by the chemical formula CH3OH, utilized in various applications including as a solvent, antifreeze, fuel, and as a starting point for the synthesis of other chemical compounds.

Relative Rate

A measure of the speed at which one reactant in a chemical reaction is consumed compared to another, often used to determine mechanisms in kinetics studies.