Quantitative Aptitude :: Simplification - Discussion

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Explanation:
Without Finding x & y & z
2x+y = 11 -->(1) 2y+z = 12 -->(2) z+2x = 8 ---> (3)
(2)* 2=> 4y+2z=24-----(A)
(3)* 2=> 2z+4x=16-----(B)
(1)*-1=> -2x-y =-11-----(C)
Add (A),(B) and (C)
2x + 3y +4z=29