a) Áp dụng t/c dtsbn:
\(\dfrac{x+2}{3}=\dfrac{y-7}{5}=\dfrac{x+y+2-7}{3+5}=\dfrac{21-5}{8}=2\)
\(\Rightarrow\left\{{}\begin{matrix}x=2.3-2=4\\y=2.5+7=17\end{matrix}\right.\)
b) \(\dfrac{x}{3}=\dfrac{y}{7}=k\)
\(\Rightarrow\left\{{}\begin{matrix}x=3k\\y=7k\end{matrix}\right.\)\(\Rightarrow xy=21k^2=84\Rightarrow k=\pm2\)
\(\Rightarrow\left[{}\begin{matrix}\left\{{}\begin{matrix}x=6\\y=14\end{matrix}\right.\\\left\{{}\begin{matrix}x=-6\\y=-14\end{matrix}\right.\end{matrix}\right.\)