I have to solve this system

$\displaystyle

\[

\left\{ \begin{array}{l}

\left| {x + y} \right| = 5 \\

\left| {xy} \right| = 6 \\

\end{array} \right.

\]

$

Is solution to solve 4 cases where:

1. x+y>0 and xy>0

2. x+y>0 and xy<0

3. x+y<0 and xy>0

4. x+y<0 and xy<0

and accordingly to that write 4 systems of equations and solve each of them?