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Given the system of equations
\[
\begin{array}{l}
(b+c)(y+z)-a x=b-c \\
(c+a)(z+x)-b y=c-a \\
(a+b)(x+y)-c z=a-b
\end{array}
\]
(where \( a+b+c \neq 0) \); then \( x: y: z \) is given by
(a) \( b-c: c-a: a-b \)
(b) \( b+c: c+a: a+b \)
(c) \( a: b: c \)
(d) \( \frac{a}{b}: \frac{b}{c}: \frac{c}{a} \)
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