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Solve the following system of equations and choose the correct ordered triple .
MATHEMATICS · Single correct · CBSE · Mathematics · Determinants · Determinants
Problem Solve the following system of equations and choose the correct ordered triple ( x , y , z ) (x, y, z) ( x , y , z ) .
x + y + z = 6 x + y + z = 6 x + y + z = 6
2 x − y + 3 z = 14 2x - y + 3z = 14 2 x − y + 3 z = 14
− x + 4 y + z = 2 -x + 4y + z = 2 − x + 4 y + z = 2
(a) ( 28 11 , − 4 11 , 34 11 ) (\dfrac{28}{11},\;-\dfrac{4}{11},\;\dfrac{34}{11}) ( 11 28 , − 11 4 , 11 34 )
(b) ( 28 11 , 4 11 , 34 11 ) (\dfrac{28}{11},\;\dfrac{4}{11},\;\dfrac{34}{11}) ( 11 28 , 11 4 , 11 34 )
(c) ( 20 11 , 6 11 , 40 11 ) (\dfrac{20}{11},\;\dfrac{6}{11},\;\dfrac{40}{11}) ( 11 20 , 11 6 , 11 40 )
(d) ( 28 11 , 4 11 , 42 11 ) (\dfrac{28}{11},\;\dfrac{4}{11},\;\dfrac{42}{11}) ( 11 28 , 11 4 , 11 42 )
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