Đáp án:
\(\left\{ \begin{array}{l}
x = - 3.15 = - 45\\
y = - 3.10 = - 30\\
z = - 3.6 = - 18
\end{array} \right.\)
Giải thích các bước giải:
\[\begin{array}{l}
\left\{ \begin{array}{l}
2x = 3y = 5z\\
x - y + z = - 33
\end{array} \right.\\
2x = 3y = 5z\\
\Rightarrow \frac{x}{{15}} = \frac{y}{{10}} = \frac{z}{6}\\
Ap\,\,dung\,\,\,tinh\,\,chat\,\,cua\,\,day\,\,ti\,\,so\,\,bang\,\,nhau\,\,ta\,\,co:\\
\frac{x}{{15}} = \frac{y}{{10}} = \frac{z}{6} = \frac{{x - y + z}}{{15 - 10 + 6}} = - \frac{{33}}{{11}} = - 3\\
\Rightarrow \left\{ \begin{array}{l}
x = - 3.15 = - 45\\
y = - 3.10 = - 30\\
z = - 3.6 = - 18
\end{array} \right..
\end{array}\]