\(\frac{1-x}{6}=\frac{1-y}{4}=\frac{1-z}{3}=\frac{2x-2}{-12}=\frac{3y-3}{-12}=\frac{4z-4}{-12}=\frac{2x-2+3y-3+4z-4}{-12-12-12}=\frac{-3}{-36}=\frac{1}{12}\)
\(\Rightarrow\hept{\begin{cases}1-x=\frac{1}{2}\\1-y=\frac{1}{3}\\1-z=\frac{1}{4}\end{cases}\Rightarrow\hept{\begin{cases}x=\frac{1}{2}\\y=\frac{2}{3}\\z=\frac{3}{4}\end{cases}}}\)