Determine Whether the Two Systems of Linear Equations Yield the Same

question 8

Multiple Choice

Determine whether the two systems of linear equations yield the same solutions. If so, find the solutions using matrices.
$$\begin{aligned}\left\{ \begin{aligned}x + 9 y - 2 z & = 41 \\y - 7 z & = 46 \\z & = - 6\end{aligned} \right.\\\left\{ \begin{aligned}x + 4 y + 2 z & = - 3 \\y + 5 z & = - 26 \\z & = - 6\end{aligned} \right.\end{aligned}$$

• A) \(x = - 7 , y = 4 , z = - 6\)
• B) \(x = 7 , y = - 4 , z = - 6\)
• C) \(x = - 4 , y = - 6 , z = - 7\)
• D) \(x = 4 , y = - 6 , z = - 7\)
• E) The systems yield different solutions.

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