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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.
{x+9y+9z=22y6z=23z=3{x+8y5z=63y+4z=7z=3\begin{aligned}\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{aligned}


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

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