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If a+b +c ne 0, the system of equations...

If ` a+b +c ne 0`, the system of equations
`(b+c) (y+z)-ax=b-c`,
`(c+a) (z+x)-by=c-a`,
`(a+b)(x+y)-cz=a-b` has

A

a unique solution

B

no solution

C

infinite number of solutions

D

none

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A
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Knowledge Check

  • If abc ne 0 and the system of equations x + 7 ay + 2az = 0, x + 6 by + 2 bz = 0, x + 5cy + 2cz = 0 has a non-zerotrivial solution, then a,b,c are in

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