Use Cramer's Rule to Solve the System of Equations $x - 3 y = 21$

question 234

Multiple Choice

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
- $x - 3 y = 21$
$- 3 x - 4 y = 15$

• A) \(\{ ( 2 , - 5 ) \}\)
• B) Cramer's rule does not apply since \(D = 0 ; \varnothing\)
• C) \(\{ ( 3 , - 6 ) \}\)
• D) \(\{ ( - 3 , - 5 ) \}\)

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Definitions:

Appeal to Ignorance

A logical fallacy in which it is claimed that a proposition is true because it has not yet been proven false, or vice versa.

Burden of Proof

The obligation to prove one's assertion or argument, typically resting on the party who makes a claim in a dispute.

Fallacy

A deceptive, misleading, or false notion, belief, or argument; often, a statement or argument based on a false or invalid inference.

Appeal to Ignorance

A logical fallacy that suggests a claim is true simply because it has not been proven false or vice versa.