Use Cramer's Rule to Solve the System of Equations $\begin{array} { l } 2 x + 5 y + z = - 6 \\4 x - 3 y - z = 24 \\3 x + y + 3 z = 12\end{array}$

question 25

Multiple Choice

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
$\begin{array} { l } 2 x + 5 y + z = - 6 \\4 x - 3 y - z = 24 \\3 x + y + 3 z = 12\end{array}$

• A) {(4,-3,1)}
• B) Cramer's rule does not apply since \(\mathrm { D } = 0 ; \not\)
• C) {(4,1,-3)}
• D) {(1,-3,4)}

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Definitions:

Insulin

A substance secreted by the pancreas that controls blood sugar levels by assisting in the absorption of glucose by the body's tissues.

Glucagon

A hormone produced by the pancreas that raises blood glucose levels by promoting glycogen breakdown in the liver.

Hyperglycemia

An elevated level of glucose in the blood, often indicative of diabetes.

Hypoglycemia

A condition characterized by abnormally low blood sugar levels, which can cause symptoms like dizziness, sweating, and confusion.