2024 · Q78
If (x+(1)/(yz))-(y+(1)/(zx))=(y+(1)/(zx))-(z+(1)/(xy))and x + z ≠ 2y, then what is xyz equal to?
Elementary MathematicsAlgebra
- A-3
- B-1
- C1
- D3
Explanation
A−B = (x−y)(1+1/(xyz)) and B−C = (y−z)(1+1/(xyz)). Equality with x+z ≠ 2y forces 1+1/(xyz) = 0, i.e. xyz = −1 — option B.