解:依题意得方程组,2x+3y=7 (1)x=-2y+3 (2)将x=-2y+3带入(1)得2×(-2y+3)+3y=7-4y+6+3y=7-y+6=7y=6-7y=-1x=-2y+3=-2×(-1)+3=2+3=5即x=5,y=-1