Change the Augmented Matrix of the System to Reduced Echelon $$\left( \begin{array} { r l l l } x - 5 y + 1 z & = & - 8 \\3 x - 5 y - 17 z & = & - 4\end{array} \right)$$

question 110

Multiple Choice

Change the augmented matrix of the system to reduced echelon form and then indicate the solutions of the system. $$\left( \begin{array} { r l l l } x - 5 y + 1 z & = & - 8 \\3 x - 5 y - 17 z & = & - 4\end{array} \right)$$

• A) (9 k \[-\] 2, 2 k + 2, k ), where k is any real number
• B) (9 k \(-\) 2, 2 k \(-\) 2, k ), where k is any real number
• C) (9 k + 2, 2 k + 2, k ), where k is any real number
• D) (9 k + 2, 2 k \(-\) 2, k ), where k is any real number
• E) inconsistent

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Definitions:

Coal Mine Pollution

Coal mine pollution involves the release of harmful substances into the environment as a result of coal mining activities, which can include air and water pollution, soil degradation, and ecological disruption.

Marginal Social Cost

The total cost to society of producing an additional unit of a good or service, including both private costs and any external costs.

Coal Mine Pollution

Environmental contamination resulting from the operations of coal mining, including air and water pollution, soil degradation, and ecosystem disruption.

MSB = MSC

MSB (Marginal Social Benefit) equals MSC (Marginal Social Cost) represents the point of allocative efficiency in goods and services production, where social welfare is maximized.