Determine Whether the Two Systems of Linear Equations Yield the Same

question 5

Multiple Choice

Determine whether the two systems of linear equations yield the same solutions. If so, find the solutions using matrices.
$\begin{array} { l } \left\{ \begin{aligned}x + 9 y + 9 z & = - 22 \\y - 6 z & = - 23 \\z & = 3\end{aligned} \right. \\\left\{ \begin{aligned}x + 8 y - 5 z & = - 63 \\y + 4 z & = 7 \\z & = 3\end{aligned} \right.\end{array}$

• A) \(x = - 4 , y = - 5 , z = 3\)
• B) \(x = 4 , y = 5 , z = 3\)
• C) \(x = 5 , y = 3 , z = - 4\)
• D) \(x = - 5 , y = 3 , z = - 4\)
• E) The systems yield different solutions.

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