Question

2x-y-xy=14 x+2y+xy= -7

Answer 1

Решение способом сложения
2х + Х - у + 2у - ху + ху = 14 - 7
3х + у = 7
у = 7 - 3х
2х - 7 + 3х - х( 7 - 3х ) = 14
5х - 7 - 7х + 3х^2 = 14
- 2х - 7 + 3х^2 = 14
3х^2 - 2х - 21 = 0
D = 4 + 252 = 256 = 16^2
X1 = ( 2 + 16 ) : 6 = 3
X2 = ( 2 - 16 ) : 6 = - 7/3 = - 2 1/3
y1 = 7 - 9 = - 2
y2 = 7 + 7 = 14
Ответ ( 3 ; - 2 ) ; ( - 2 1/3 ; 14 )