Use Cramer's Rule to Solve the System of Equations $\begin{array} { r } x + y + z = - 3 \\x - y + 2 z = 2 \\4 x + y + z = 9\end{array}$

question 120

Multiple Choice

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
$\begin{array} { r } x + y + z = - 3 \\x - y + 2 z = 2 \\4 x + y + z = 9\end{array}$

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

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Definitions:

Appeal to Force

A fallacy in argumentation where one tries to persuade others to accept a conclusion by using threats or force rather than logical reasoning.

Proposition

An observation that suggests a judgment or opinion.

Threat

A statement or action indicating the intention to cause harm or danger to someone or something.

Appeal to Emotion

A logical fallacy that uses the manipulation of emotions rather than valid reasoning to persuade.