Determine Whether the Two Systems of Linear Equations Yield the Same

question 62

Multiple Choice

Determine whether the two systems of linear equations yield the same solutions.If so,find the solutions using matrices. $$\left\{ \begin{aligned}x - y - 6 z & = - 33 \\y + 3 z & = 18 \\z & = 4\end{aligned} \right.$$ $$\left\{ \begin{array} { r l r } x - 7 y - 3 z & = - 57 \\y - 9 z & = - 30 \\z & = 4\end{array} \right.$$

• A)x = -3,y = 6,z = 4
• B)The systems yield different solutions.
• C)x = 3,y = 4,z = -3
• D)x = 3,y = -6,z = 4
• E)x = 6,y = 4,z = -3

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Definitions:

Null Hypothesis

A statement or hypothesis that asserts there is no significant difference or relationship between specified populations, any observed difference being due to sampling or experimental error.

µ

The population mean, representing the average value of a given population.

α

Denotes the level of significance in hypothesis testing, representing the probability of rejecting the null hypothesis when it is true.

Null Hypothesis

A hypothesis that assumes no statistical significance in a set of given observations, aiming to be either proven or disproven.