Solve the System Using Determinants $$\begin{array} { l } 3 x + 4 y - z = 42 \\x - 4 y + 5 z = - 2 \\2 x + y + z = 23\end{array}$$

question 35

Multiple Choice

Solve the system using determinants.
- $$\begin{array} { l } 3 x + 4 y - z = 42 \\x - 4 y + 5 z = - 2 \\2 x + y + z = 23\end{array}$$

• A)(4, 9, 6)
• B)(4, -9, -6)
• C)(5, 7, 6)
• D)(9, 6, 9)

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Definitions:

Dissolution

The process of a substance being dissolved by a solvent, leading to the formation of a solution.

Limestone

A sedimentary rock composed mainly of calcium carbonate (CaCO3), often formed from the skeletal fragments of marine organisms.

Karst Topography

A landscape formed from the dissolution of soluble rocks such as limestone, characterized by underground drainage systems and sinkholes.

Sinkhole

A depression or hole in the ground caused by the collapse of a surface layer, often due to the dissolution of the underlying limestone, volcanic activity, or water drainage.