Решить систему уравнений 2x+4y=5 (x-y)

x квадрат - yквадрат = 6

{2x+4y=5 (x-y) {2x + 4y=5x-5y

{x^2-y^2=6 {x^2=6 + y^2

{2x - 5x = - 5y-4y. { - 3x = - 9y | : (-3)

{ x^2=6 + y^2. { x^2=6 + y^2

{ x=3y

{ x^2=6 + y^2

(3y) ^2=6+y^2.

9y^2 - y^2=6.

8y^2=6

y^2 = 3/4

y = 0.8

{ y=0.8. { y=0.8

{x = 3 * 0.8. {x = 2.4

Ответ: (2.4; 0.8).