If \frac{x}{b+c}=\frac{y}{c+a}=\frac{z}{b-a}, then which one of the following is correct?

Explanation

Let each fraction equal k. Then x = k(b+c), y = k(c+a), and z = k(b-a). Substituting these into the second option: x-y-z = k(b+c) - k(c+a) - k(b-a) = k(b+c-c-a-b+a) = 0.

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