If the system of equations 3x+y+4z=3 2x+ αy-z=-3 x+2y+z=4has no solution, then the value of is equal to :

Question

Accepted Answer

Correct answer: A. (a) For no solution =0 (3142 -1121)=0 ⇒3 ( +2 )+1 (-1-2 )+4 (4- )=0 ⇒19- =0 ⇒ =19& for =19 _x=(314-319-1421)=3 (21 )+1 (-1 )+4 (-82 ) 0∴ no solution for =19

$If the system of equations 3 x + y + 4 z = 32 x + αy - z = - 3 x + 2 y + z = 4 has no solution, then the value of α is equal to :$

Solution

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