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The system of equations -2x+y+z=a, x-2y+...

The system of equations `-2x+y+z=a`, `x-2y+z=b`, `x+y-2z=c`, has:
(a)no solution if `a+b+c!=0`
(b)unique solution if `a+b+c=0`
(c)infinite number of solutions if `a+b+c=0`
(d)none of these

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