Question

решить систему уравнений 2x+4y=5(x-y)
x квадрат - yквадрат =6

Answer 1

{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).