Use Cramer's Rule to Solve the System of Equations $$\begin{array} { r } x + y + z = 9 \\2 x - 3 y + 4 z = 7\end{array}$$

question 180

Multiple Choice

Use Cramer's rule to solve the system of equations. If D = 0, use another method to determine the solution set.
- $$\begin{array} { r } x + y + z = 9 \\2 x - 3 y + 4 z = 7\end{array}$$

• A) Cramer's rule does not apply since \(D = 0 ; \left\{ \left\{ \frac { z + 34 } { 5 } , \frac { 2 z + 11 } { 5 } , z \right) \right\}\)
• B) Cramer's rule does not apply since \(\mathrm { D } = 0 ; \left\{ \left[ \frac { - 7 \mathrm { z } + 34 } { 5 } , \frac { 2 \mathrm { z } - 11 } { 5 } , \mathrm { z } \right) \right\}\)
• C) Cramer's rule does not apply since \(D = 0 ; \varnothing\)
• D) Cramer's rule does not apply since \(D = 0 ; \left\{ \left( \frac { - 7 z + 34 } { 5 } , \frac { 2 z + 11 } { 5 } , z \right) \right\}\)

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Definitions:

r Values

Statistical measures representing correlation coefficients that indicate the strength and direction of a linear relationship between two variables.

Spearman Rank-Correlation

A nonparametric measure of rank correlation that assesses how well the relationship between two variables can be described by a monotonic function.

Rejection Region

The rejection region is a concept in hypothesis testing that represents the set of values for which the null hypothesis is considered not likely to be true and is therefore rejected.

ρ Values

Often symbolizes correlation coefficients in statistics, representing the strength and direction of the linear relationship between two variables.