⇔$\left \{ {{2(x-2)+3(1+3y)=4} \atop {3(x+1)-2(1+y)=-7}} \right.$
⇔$\left \{ {{2x-4+3+9y=4} \atop {3x+3-2-2y=-7}} \right.$
⇔ $\left \{ {{2x+9y=5} \atop {3x-2y=-8}} \right.$
⇔$\left \{ {{6x+27y=15} \atop {6x-4y=-16}} \right.$
⇔$\left \{ {{31y=31} \atop {3x-2y=-8}} \right.$
⇔$\left \{ {y=1} \atop {3x-2.1=-8} \right.$
⇔$\left \{ {y=1} \atop {3x-2=-8} \right.$
⇔ $\left \{ {y=1} \atop {3x=-6} \right.$
⇔$\left \{ {y=1} \atop {x=-2} \right.$
