Đáp án:
\(\left\{ \begin{array}{l}
x = \frac{{285}}{{31}}\\
y = \frac{{190}}{{31}}\\
z = \frac{{114}}{{31}}
\end{array} \right.\)
Giải thích các bước giải:
\(\begin{array}{l}
2x = 3y = 5z\\
\Rightarrow \frac{{2x}}{{30}} = \frac{{3y}}{{30}} = \frac{{5z}}{{30}}\\
\Rightarrow \frac{x}{{15}} = \frac{y}{{10}} = \frac{z}{6} = \frac{{x + y + z}}{{15 + 10 + 6}} = \frac{{19}}{{31}}\\
\Rightarrow \left\{ \begin{array}{l}
x = \frac{{285}}{{31}}\\
y = \frac{{190}}{{31}}\\
z = \frac{{114}}{{31}}
\end{array} \right.
\end{array}\)