Solve the System A) No Solution; Inconsistent
B) $\{ ( - 2 , - 6,1 ) \}$

question 23

Multiple Choice

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent.
- $$\begin{aligned}x - \frac { 3 } { 4 } y + \frac { 5 } { 4 } z & = \frac { 15 } { 4 } \\- \frac { 1 } { 4 } x + \frac { 1 } { 2 } y + \frac { 1 } { 8 } z & = - \frac { 19 } { 8 } \\- \frac { 5 } { 2 } x + \frac { 9 } { 2 } y + z & = - 21\end{aligned}$$

• A) No solution; inconsistent
• B) \(\{ ( - 2 , - 6,1 ) \}\)
• C) \(\{ ( 0,0,0 ) \}\)
• D) \(\{ ( 2,1,2 ) \}\)

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Definitions:

Myocardium

The thick middle layer of the heart wall composed of cardiac muscle cells; responsible for the heart's contractile activity.

Epicardium

The outermost layer of the heart's wall, part of the heart's protective covering and involved in the production of pericardial fluid.

Endocarditis

Inflammation of the inner layer of the heart, often affecting the heart valves.

Heart Wall

The heart wall is the muscular structure that composes the heart, consisting of three layers: the epicardium, the myocardium, and the endocardium.