\(3x+2y=7y-3x\)
\(\Rightarrow3x=7y-3x-2y\)
\(\Rightarrow\)\(3x=5y-3x\)
\(\Rightarrow\)\(5y=3x+3x\)
\(\Rightarrow5y=6x\)
\(\Rightarrow\dfrac{y}{6}=\dfrac{x}{5}\)
Áp dụng tính chất dãy tỉ số bằng nhau ta có:
\(\dfrac{x}{5}=\dfrac{y}{6}=\dfrac{x-y}{5-6}=\dfrac{10}{-1}=-10\)
\(\Rightarrow\left\{{}\begin{matrix}y=-10.6=-60\\x=-10.5=-50\end{matrix}\right.\)