\(\dfrac{x}{3}=\dfrac{y}{4}\Rightarrow\dfrac{x}{9}=\dfrac{y}{12}\)
\(\dfrac{y}{3}=\dfrac{z}{2}\Rightarrow\dfrac{y}{12}=\dfrac{z}{8}\)
\(\Rightarrow\dfrac{x}{9}=\dfrac{y}{12}=\dfrac{z}{8}\)
\(\Rightarrow\dfrac{x}{9}=\dfrac{-3y}{-36}=\dfrac{z}{8}\)
Áp dụng tính chất dãy tỉ số bằng nhau, ta có:
\(\dfrac{-3y}{-36}=\dfrac{z}{8}=\dfrac{-3y+z}{-36+8}=\dfrac{0}{-28}=0\)
\(\Rightarrow x=y=z=0\)