Find the values of x and y for which the right side is zero. That's the equilibrium point. A phase portrait of the system is easily drawn in Mathematica:

Code:eqPt = Graphics[{PointSize[0.01], Red, Point[{-1, 1/2}]}]; Show[{StreamPlot[{x + 1, 3 x + 2 y + 2}, {x, -5, 5}, {y, -5, 5}], eqPt}]