[tex]\frac{1}{x+y-1}=a,\frac{1}{2x-y-3}=b\Rightarrow \left\{\begin{matrix} 4a-5b=-\frac{5}{2}\\ 3a+b=-\frac{7}{5} \end{matrix}\right.\Rightarrow \left\{\begin{matrix} a=\frac{1}{2}\\ b=-\frac{1}{10} \end{matrix}\right.\Rightarrow \left\{\begin{matrix} x+y-1=2\\ 2x-y+3=-10\end{matrix}\right.\Rightarrow \left\{\begin{matrix} x+y=3\\ 2x-y=-13 \end{matrix}\right.\Rightarrow \left\{\begin{matrix} x=-\frac{10}{3}\\ y=\frac{19}{3} \end{matrix}\right.[/tex]