Решите систему уравнений {х^2+у^2=101, {х+у=11;

Question

Решите систему уравнений
{х^2+у^2=101,
{х+у=11;

Answer 1

{х^2+у^2=101,
{х+у=11
x=11-y
(11-y)^2+y^2=101
121-22y+y^2+y^2-101=0
2y^2-22y+20=0
y^2-11y+10=0
y1=1
x1=10
y2=10
x2=1