Ta co : \(\frac{x}{2}=\frac{2y}{5}=\frac{4z}{7}\) va 3x+5y+7z=123
\(\frac{x}{2}=\frac{2y}{5}=\frac{4z}{7}\Rightarrow\frac{x}{8}=\frac{y}{10}=\frac{z}{7}\)( nhan moi so ty voi \(\frac{1}{4}\))
Suy ra : \(\frac{x}{8}=\frac{y}{10}=\frac{z}{7}=\left(\frac{3x+5y+7z}{3.8+5.10+7.7}\right)=\frac{123}{123}=1\)
Vay : \(x=8.1=8;y=1.10=10;z=1.7=7\)