\(a,\Rightarrow x_1y_1=x_2y_2\Rightarrow\dfrac{y_1}{x_2}=\dfrac{y_2}{x_1}=\dfrac{y_1}{-2}=\dfrac{y_2}{3}=\dfrac{2y_1+3y_2}{-4+9}=\dfrac{15}{5}=3\\ \Rightarrow\left\{{}\begin{matrix}y_1=-6\\y_2=9\end{matrix}\right.\\ \Rightarrow x_1y_1=-18\\ \Rightarrow y=-\dfrac{18}{x}\\ b,x=-16\Rightarrow y=-\dfrac{18}{-16}=\dfrac{9}{8}\)