\left \{ {{x=1-y} \atop {x^2+y^2=25}} \right. =>(1-y)^2+y^2=25=>y^2-y-12=0\\D=1+48=49\\y_1=4\\y_2=-3\\x_1=-3\\x_2=4" alt="\left \{ {{x+y=1} \atop {x^2+y^2=25}} \right. =>\left \{ {{x=1-y} \atop {x^2+y^2=25}} \right. =>(1-y)^2+y^2=25=>y^2-y-12=0\\D=1+48=49\\y_1=4\\y_2=-3\\x_1=-3\\x_2=4" align="absmiddle" class="latex-formula">
Ответ:![(x_1;y_1)=(-3;4)\\(x_2;y_2)=(4;-3) (x_1;y_1)=(-3;4)\\(x_2;y_2)=(4;-3)](https://tex.z-dn.net/?f=%28x_1%3By_1%29%3D%28-3%3B4%29%5C%5C%28x_2%3By_2%29%3D%284%3B-3%29)