\begin{gather*} 2=x+y+\dfrac{3}{65}\\ 0=(-1.5+4i)x+(-1.5-4i)y-\dfrac{6}{65}\\ y=\dfrac{127}{65}-x\\ 0=-1.5x+4ix-1.5\left(\dfrac{127}{65}-x\right)-4i\left(\dfrac{127}{65}-x\right)=\\ =-1.5x+4ix-\dfrac{381}{130}+1.5x-\dfrac{508}{65}i+4ix=\\ =x=\dfrac{\dfrac{381}{130}+\dfrac{508}{65}i}{8i}=\dfrac{\dfrac{1524}{65}i-\dfrac{4064}{65}}{-64}=-\dfrac{381}{1040}i+\dfrac{127}{130}\\ y=\dfrac{127}{65}-\left(-\dfrac{381}{1040}i+\dfrac{127}{130}\right)=\dfrac{127}{65}+\dfrac{381}{1040}i-\dfrac{127}{130}=\dfrac{127}{130}+\dfrac{381}{1040}i\end{gather*}