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MathNet 2016-part-03 — 184 problems (EN–VI) Question 123

Math Olympiad Vault · MathNet 2016-part-03 — 184 problems (EN–VI)

Question 123

1) Solve the system:
$$
\left\{\begin{array}{l}
x + [y] + \{z\} = 1.2 \\
y + [z] + \{x\} = 2.3 \\
z + [x] + \{y\} = 3.5
\end{array} \quad \text{where } x, y, z \in \mathbf{R}\right.
$$