Question

Решить систему уравнений x+y=5 x^2-y^2=5.

Answer 1

{x + y = 5
{x^2 - y^2 = 5

{x = 5 - y
{(5 - y)^2 - y^2 = 5

{x = 5 - y
{25 - 10y + y^2 - y^2 = 5

{x = 5 - y
{-10y = -20

{x = 5 - y
{10y = 20

{x = 5 - y
{y = 2

{x = 3
{y = 2

Ответ: x = 3; y = 2