Determine Whether the Two Systems of Linear Equations Yield the Same

question 174

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:

Enuresis

The medical term for bedwetting or the involuntary urination in children beyond the age where bladder control is usually achieved.

Bladder Control

The ability to manage urinary functions, typically developed in early childhood as part of potty training.

REM Sleep

Rapid Eye Movement (REM) Sleep is a stage of sleep characterized by fast and random movements of the eyes, alongside increased brain activity, vivid dreams, and temporary muscle paralysis.

Bed-wetting

Involuntary urination during sleep, especially common in children.