The following system of linear equations7x+6y-2z=03x+4y+2z=0 has x-2y-6z=0

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no solution

infinitely many solutions (x,y,z) satisfying x=2z

infinitely many solutions (x,y,z) satisfying y=2z

Only the trivial solution.

answer is B.

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Detailed Solution

76-23421-2-67(-24+4)-6(-18-2)-2(-6-4)-140+120+20=-140+140=0Infinitely many solutions Let z=k7x+6y-2k=03x+4y+2k=0x-2y-6k=0x+2k=6k3x=6kx=2k y=-2k y=-2z

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