Use Cramer S Rule to Find the Solution Set for the System

question 127

Short Answer

Use Cramer s rule to find the solution set for the system. $$\left( \begin{array} { c l c c c } x-4 y+5 z & =9 \\-4 x+8 y-5 z & =-16 \\9 x-12 y+10 z & =33\end{array} \right)$$ If the equations of the system are dependent, or if a system is inconsistent, so indicate. In those cases enter dependent or inconsistent .

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Definitions:

Inspiratory Muscles

Muscles involved in inhalation, primarily the diaphragm and intercostal muscles, which expand the thoracic cavity.

Pleural Pressure

The pressure within the pleural cavity, which can influence lung expansion and contraction.

Alveolar Pressure

The pressure within the alveoli of the lungs, which influences breathing and gas exchange.

Surfactant

A substance that reduces the surface tension of fluids, facilitating processes like breathing by preventing the collapse of alveoli in the lungs.