Use Cramer's Rule to Solve the Following System of Linear $$\left\{ \begin{aligned}14 x - 21 y + 14 z & = 1 \\- 21 x + 14 y + 7 z & = 5 \\28 x + 7 y - 21 z & = 5\end{aligned} \right.$$

question 71

Multiple Choice

Use Cramer's Rule to solve the following system of linear equations: $$\left\{ \begin{aligned}14 x - 21 y + 14 z & = 1 \\- 21 x + 14 y + 7 z & = 5 \\28 x + 7 y - 21 z & = 5\end{aligned} \right.$$

• A) \(x = \frac { 5 } { 7 } ; y = \frac { 55 } { 49 } ; z = \frac { 95 } { 147 }\)
• B) \(x = \frac { 3 } { 7 } ; y = \frac { 45 } { 98 } ; z = \frac { 12 } { 49 }\)
• C) \(x = \frac { 11 } { 14 } ; y = \frac { 115 } { 98 } ; z = \frac { 106 } { 147 }\)
• D) \(x = \frac { 11 } { 21 } ; y = \frac { 115 } { 147 } ; z = \frac { 106 } { 147 }\)
• E) \(x = \frac { 3 } { 7 } ; y = \frac { 75 } { 98 } ; z = \frac { 27 } { 49 }\)

Recognize the importance of the renal solute concentration gradient in the interstitial fluid of the medulla.

Understand the role and mechanisms of the kidneys in acid-base balance and electrolyte regulation.

Identify the symptoms and physiological consequences of renal failure.

Recognize the roles of various hormones and enzymes in regulating blood volume, blood pressure, and renal function.

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