\(2x=3y=5z\Rightarrow\frac{x}{\frac{1}{2}}=\frac{y}{\frac{1}{3}}=\frac{z}{\frac{1}{5}}\)
Áp dụng tính chất dãy tỉ số bằng nhau, ta có:
\(2x=3y=5z\Rightarrow\frac{x}{\frac{1}{2}}=\frac{y}{\frac{1}{3}}=\frac{z}{\frac{1}{5}}=\frac{x-y+z}{\frac{1}{2}-\frac{1}{3}+\frac{1}{5}}=-\frac{33}{\frac{11}{30}}=-\frac{1}{10}\)
\(2x=-\frac{1}{10}\Rightarrow x=-\frac{1}{10}:2=-\frac{1}{20}\)
\(3y=-\frac{1}{10}\Rightarrow y=-\frac{1}{10}:3=-\frac{1}{30}\)
\(5z=-\frac{1}{10}\Rightarrow z=-\frac{1}{10}:5=-\frac{1}{50}\)