CEMC Fermat, 2010

Algebra Difficulty 1.0 Junior Find the answer Canada

If $\dfrac{x-y}{z-y} = -10$ , then the value of $\dfrac{x-z}{y-z}$ is

(A) $11$ (B) $-10$ (C) $9$ (D) $-9$ (E) $10$

We don't reproduce this publisher's solutions. Their own solution is here — work the problem first.

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.