Solve the System of Equations $$\begin{array} { c } x + 2 y - 3 z + w = 7 \\3 x + 4 y - z + 2 w = 4 \\- 2 x + y + z - w = - 3 \\x - y + 2 z - 2 w = 1\end{array}$$

question 229

Multiple Choice

Solve the system of equations.
- $$\begin{array} { c } x + 2 y - 3 z + w = 7 \\3 x + 4 y - z + 2 w = 4 \\- 2 x + y + z - w = - 3 \\x - y + 2 z - 2 w = 1\end{array}$$

• A) \(\left( \frac { 22 } { 35 } , \frac { 22 } { 7 } , - \frac { 22 } { 51 } , - \frac { 11 } { 24 } \right)\)
• B) \(\left( 1 , \frac { 33 } { 28 } , - \frac { 11 } { 43 } , - \frac { 33 } { 106 } \right)\)
• C) \(\left( \frac { 35 } { 22 } , \frac { 7 } { 22 } , - \frac { 51 } { 22 } , - \frac { 24 } { 11 } \right)\)
• D) \(\left( 1 , \frac { 28 } { 33 } , - \frac { 43 } { 11 } , - \frac { 106 } { 33 } \right)\)

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Definitions:

Shield Volcano

A type of volcano with broad, gently sloping sides, built by the eruption of low-viscosity lava that can flow long distances.

Caldera-forming

Refers to the process through which large craters are formed by the collapse of land following a volcanic eruption.

Natural Disasters

Severe, sudden events caused by environmental factors that result in significant damage or loss of life.

Basaltic Shield-forming

The process of creating large, gently sloping volcanic mountains through the accumulation of fluid basaltic lava flows.