\left \{ {{10x-5=-10y+5} \atop {2x^2-2x+13=2x^2-8x+13y}} \right.=>\\=>\left \{ {{y=\frac{2x+2}{2} } \atop {2x^2-2x+13=2x^2-8x+\frac{13(2x+2)}{2} }} \right. =>\left \{ {{y=\frac{2x+2}{2}} \atop {6x+13-\frac{13(2x+2)}{2}}} \right.=>\left \{ {{y=\frac{2x+2}{2}} \atop {x=0}} \right. =>\\=>(x;y)=(0;1)" alt="\left \{ {{(x-2)^2-(x+3)^2=(y-3)^2-(y+2)^2} \atop {(x+2)^2+(x-3)^2=2x(x-4)+13y}} \right. =>\left \{ {{10x-5=-10y+5} \atop {2x^2-2x+13=2x^2-8x+13y}} \right.=>\\=>\left \{ {{y=\frac{2x+2}{2} } \atop {2x^2-2x+13=2x^2-8x+\frac{13(2x+2)}{2} }} \right. =>\left \{ {{y=\frac{2x+2}{2}} \atop {6x+13-\frac{13(2x+2)}{2}}} \right.=>\left \{ {{y=\frac{2x+2}{2}} \atop {x=0}} \right. =>\\=>(x;y)=(0;1)" align="absmiddle" class="latex-formula">