\(\frac{x+16}{9}=\frac{y-25}{16}=\frac{z+9}{25}\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\frac{x+16}{9}=\frac{y-25}{16}=\frac{z+9}{25}=\frac{2\left(x+16\right)+3\left(y-25\right)-\left(z+9\right)}{2.9+3.16-25}\)
\(=\frac{2x+3y-z-52}{41}=\frac{50-52}{41}=\frac{-2}{41}\)
\(\Leftrightarrow\hept{\begin{cases}x=\frac{-2}{41}.9-16=\frac{-674}{41}\\y=\frac{-2}{41}.16+25=\frac{993}{41}\\z=-\frac{2}{41}.25-9=\frac{-419}{41}\end{cases}}\)