Система уравнений:x²+y²=x-y3x-2y=5

[latex]x^2+y^2=x-y\\ 3x-2y=5\\\\ x=\frac{5+2y}{3}\\\\ \frac{(5+2y)^2}{9}+y^2=\frac{5+2y}{3}-y\\\\ \frac{ 25+20y+4y^2 +9y^2 }{9} = \frac{15+6y-9y}{9}\\\\ 13y^2+20y+25=15-3y\\ 13y^2+23y+10=0\\ D=23^2-4*13*10=3^2\\ y=\frac{-23+/-3}{26}=-\frac{10}{13};-1\\ x=\frac{45}{338};1[/latex]