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MathNet 2023-part-07 — 187 problems (EN–VI) Question 70

Math Olympiad Vault · MathNet 2023-part-07 — 187 problems (EN–VI)

Question 70

Compute all ordered triples $(x, y, z)$ of real numbers satisfying the following system of equations:
$$
\begin{array}{r}
x y+z=40 \\
x z+y=51 \\
x+y+z=19 .
\end{array}
$$