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If a + b + c != 0 then the number soluti...

If `a + b + c != 0` then the number solutions `(x,y,z)` to the system
`(b + c)(y + z) - ax = b - c`
`(c + a)(z + x) - by = c - a`
`(a + b) (x + y) - cz = a - b` is

A

`0`

B

`1`

C

`3`

D

infinite

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