\(\dfrac{4}{x}=\dfrac{6}{y}\)⇒\(\dfrac{16}{4x}=\dfrac{30}{5y}\)
Áp dụng tính chất dãy tỉ số bằng nhau, ta có:
\(\dfrac{16}{4x}=\dfrac{30}{5y}=\dfrac{16+30}{4x+5y}=\dfrac{46}{-138}=-\dfrac{1}{3}\)
⇒\(\left\{{}\begin{matrix}x=4:\left(-\dfrac{1}{3}\right)=-12\\y=6:\left(-\dfrac{1}{3}\right)=-18\end{matrix}\right.\)