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Real Number Crossed Symmetric System of Equations (Posted on 2023-09-18) Difficulty: 3 of 5
Each of x, y, and z is a real number that satisfies this system of equations:
• 1/x+y+z=3
• x+1/y+z=3
• x+y+1/z=3
Determine all possible solutions to the above system of equations.

Note: Adapted from a problem that appeared on 2017 El Salvador Math Olympiad.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionBrian Smith2023-09-18 11:06:10
SolutionsolutionLarry2023-09-18 09:58:32
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