jmc

First, we organize each equation by getting the variables on one side and the constants on the other. This makes our equations $2.2x-3.1y=-3.2$ and $0.4x+y=8.8$. Solving the second equation for $y$ in terms of $x$ gives $y=8.8-0.4x$. Substituting this into our other equation gives $$\begin{array}{rl}& 2.2x-3.1(8.8-0.4x)=-3.2\\ & 2.2x-27.28+1.24x=-3.2\\ & 3.44x=24.08\\ & x=7.\end{array}$$So, $y=8.8-0.4x=6$, and our solution is $(x,y)=\boxed{(7,6)}$.