*Làm tắt
\(\dfrac{x}{5}=\dfrac{y}{3}=\dfrac{z}{2};x+2y+3z=34\Rightarrow\dfrac{x}{5}=\dfrac{2y}{6}=\dfrac{3z}{6}\Rightarrow\dfrac{x+2y+3z}{5+6+6}=\dfrac{34}{17}=2\)
\(\dfrac{x}{5}=2\Rightarrow x=10;\dfrac{y}{3}=2\Rightarrow y=6;\dfrac{z}{2}=4\Rightarrow z=4\)
\(\dfrac{x}{5}=\dfrac{y}{3}=\dfrac{z}{2}=\dfrac{x+2y+3z}{5+6+6}=\dfrac{34}{17}=2\\ \Rightarrow x=10;y=6;z=4\)