Determine Whether the Two Systems of Linear Equations Yield the Same

question 39

Multiple Choice

Determine whether the two systems of linear equations yield the same solutions. If so, find the solutions using matrices.
$\left\{ \begin{aligned} x + y - 9 z & = - 67 \\ y + 5 z & = 31 \\ z & = 7 \end{aligned} \right.$
$\left\{ \begin{aligned} x - 9 y + 6 z & = 76 \\ y - 9 z & = - 67 \\ z & = 7 \end{aligned} \right.$

• A) \(x = 0 , y = - 4 , z = 7\)
• B) \(x = 0 , y = 4 , z = 7\)
• C) \(x = 4 , y = 7 , z = 0\)
• D) \(x = - 4 , y = 7 , z = 0\)
• E) The systems yield different solutions.

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