\(\frac{x}{y}=\frac{2}{7}\)(x, y \(\inℤ\))
=> x = 2m; y = 7m (m \(\inℤ,m\ne0\))
Ta có \(\frac{x}{y}=\frac{2}{7}\left(x,y\in Z\right)\)
\(\Rightarrow\hept{\begin{cases}x=2a\\y=7b\end{cases}}\)với \(a,b\inℤ;b\ne0\)
Ta có\(\frac{x}{y}=\frac{2}{7}\Rightarrow2y=7x\)\(\Rightarrow\hept{\begin{cases}x=\frac{2y}{7}\\y=\frac{7x}{2}\end{cases}}\)
\(\frac{x}{y}=\frac{2}{7}\) \(\Rightarrow\)\(x=2\), \(y=7\)