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Solve the System x+y2z=93x+y+2z=15x5y+22z=27\begin{array} { l } x + y - 2 z = 9 \\3 x + y + 2 z = 15 \\x - 5 y + 22 z = - 27\end{array}

Question 59

Multiple Choice

Solve the system. If there is more than one solution, write the general solution.
- x+y2z=93x+y+2z=15x5y+22z=27\begin{array} { l } x + y - 2 z = 9 \\3 x + y + 2 z = 15 \\x - 5 y + 22 z = - 27\end{array}
Solution {2z+3,4z+6,zz\{ - 2 z + 3,4 z + 6 , z \mid z is any real number }\}


A) (1,10,1) ,(1,2,2) ,(5,4,1) ( 1,10,1 ) , ( 1 , - 2 , - 2 ) , ( 5 , - 4 , - 1 )
B) (3,6,0) ,(1,14,2) ,(1,2,2) ( 3,6,0 ) , ( - 1,14,2 ) , ( 1 , - 2 , - 2 )
C) (3,6,0) ,(1,10,1) ,(1,14,2) ( 3,6,0 ) , ( 1,10,1 ) , ( - 1,14,2 )
D) (1,10,1) ,(1,14,2) ,(5,4,1) ( 1,10,1 ) , ( - 1,14,2 ) , ( 5 , - 4 , - 1 )

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