$(I)\left \{ {{3x+2y=-x} \atop {5(x+y)=-3x+y-5}} \right.$
$⇔\left \{ {{3x+x+2y=0} \atop {5x+5y+3x-y=-5}} \right.$
$⇔\left \{ {{4x+2y=0} \atop {8x+4y=-5}} \right.$
$⇔\left \{ {{-8x-4y=0} \atop {8x+4y=-5}} \right.$
$⇔\left \{ {{0y=-5(ls)} \atop {3x+2y=-x}} \right.$
Vậy hệ (I) vô nghiệm