\(2x=5y=-3z\)
\(\Rightarrow\dfrac{2x}{30}=\dfrac{5y}{30}=\dfrac{-3z}{30}\)
\(\Rightarrow\dfrac{x}{15}=\dfrac{y}{6}=\dfrac{z}{-10}\)
Ta có:
\(\dfrac{z}{-10}=\dfrac{2z}{-20}\)
Áp dụng tính chất của dãy tỉ số bằng nhau,ta có:
\(\dfrac{x}{15}=\dfrac{y}{6}=\dfrac{2z}{-20}=\dfrac{x+y+2z}{15+6+\left(-20\right)}=\dfrac{2}{1}=2\)
\(\Rightarrow\left\{{}\begin{matrix}x=2\cdot15=30\\y=2\cdot6=12\\z=2\cdot\left(-10\right)=-20\end{matrix}\right.\)
2x=5y=-3z
=>x/15=y/6=z/-10
=>\(\dfrac{x}{15}=\dfrac{y}{6}=\dfrac{z}{-10}=\dfrac{x+y+2z}{15+6+2\cdot\left(-10\right)}=\dfrac{2}{1}=2\)
=>x=30; y=12; z=-20
