Ta có: \(\dfrac{2x}{6}=\dfrac{3y}{7}\)
\(\Rightarrow\dfrac{2x}{36}=\dfrac{3y}{42}\)
\(\Rightarrow\dfrac{x}{18}=\dfrac{y}{14}\)
Áp dụng tính chất dãy tỉ số bằng nhau, ta có:
\(\dfrac{x}{18}=\dfrac{y}{14}=\dfrac{x+y}{18+14}=\dfrac{29}{32}\)
\(\Rightarrow\left\{{}\begin{matrix}x=16,3125\\y=12,6875\end{matrix}\right.\)
