SOLUTION: Determine the value of k for which the system has no solutions x+y+3z=-1 x+2y-2z=-2 4x+12y+kz=-11

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Question 465640: Determine the value of k for which the system has no solutions
x+y+3z=-1
x+2y-2z=-2
4x+12y+kz=-11

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
x+y+3z=-1
x+2y-2z=-2
4x+12y+kz=-11
D=
D=
D = a1(b2c3-c2b3) - b1(a2c3-c2a3) + c1(a2b3-b2a3)
0 = (2k+24)-(k+8) + 3(4)
-28 = k
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