Решительно систему уравнений (x-2)*(y+3)=160, y-x=1

[latex] \left \{ {{(x-2)(y+3)=160} \atop {y-x=1}} \right. [/latex] [latex] \left \{ {{(x-2)(y+3)=160} \atop {y=1+x}} \right. [/latex] [latex] \left \{ {{(x-2)(1+x+3)=160} \atop {y=1+x}} \right. [/latex] _________________________________________________ (x-2)(1+x+3)=160 (x-2)(x+4)=160 [latex] x^{2} [/latex]+4x-2x-8=160 [latex] x^{2} [/latex]+2x-168=0 D=4+4*168=676 x1=12 x2= -14 ______________________________________________________ [latex] \left \{ {{x1=12} \atop {y=1+12}} \right. [/latex] [latex] \left \{ {{x2=-14} \atop {y=1-14}} \right. [/latex] [latex] \left \{ {{x=12} \atop {y=-13}} \right. [/latex]