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Determine If the Given Ordered Triple Is a Solution of the System

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Determine if the given ordered triple is a solution of the system.
- (5,4,3) xy+z=12x+y+z=6x+yz=4\begin{array} { l } ( 5,4 , - 3 ) \\x - y + z = 12 \\x + y + z = 6 \\x + y - z = - 4\end{array}


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