Giải các hệ phương trình sau:  \(\left\{ \begin{array}{l}\frac{4}{{x + y}} + \frac{1}{{y - 1}} = 5\\\frac{1}{{x + y}} - \frac{2}{{y - 1}} =  - 1\end{array} \right.\)

A \(\left( {x;\,\,y} \right) = \left( {  1;\,\,-2} \right).\)

B \(\left( {x;\,\,y} \right) = \left( {  1;\,\,2} \right).\)

C \(\left( {x;\,\,y} \right) = \left( { - 1;\,\,-2} \right).\)

D \(\left( {x;\,\,y} \right) = \left( { - 1;\,\,2} \right).\)