Discussion
Using Cramer's rule on a system whose coefficient determinant is 6 and whose numerator determinant for x is 18, the value of x is
Answer: A
Each unknown is the ratio of its own numerator determinant to the coefficient determinant:
\[ x = \frac{D_x}{D} = \frac{18}{6} = 3 \]
The rule requires \( D \neq 0 \), which holds here; where it vanishes the rank criteria must be used instead.
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