Question

Помогите решить системы, срочно!!!

Answer 1

1)
$left { {{x+ 5y = 6} atop {10xy + 24y^2 = - x^2}} right. \\ left { {{x =6 - 5y} atop {10y(6-5y) + 24y^2 + (6-5y)^2= 0}} right. \\ left { {{x =6 - 5y} atop {60y - 50y^2 + 24y^2 + 36 - 60y + 25y^2 = 0}} right. \\ left [ {{ left { {{x = -24} atop {y = 6}} right.} atop { left { {{x = 36} atop {y = -6}} right.}} right.$
Ответ: $(-24;6);(36;-6)$

2)
$left { {{7x-2y=4} atop {xy = 10}} right. \\ left { {{y = frac{7x-4}{2} atop} atop {x(frac{7x-4}{2}) = 10}} right. \\ left { {{y = frac{7x-4}{2} atop} atop {7x^2 -4x - 20 = 0}} right. \\ left [ {{ left { {{x = -frac{10}{7} atop} atop {y = -7}} right.} atop { left { {{x = 2 atop} atop {y = 5}} right.}} right.$
Ответ: $(-frac{10}{7};-7);(2;5)$

3)
$left { {{x^2 + y^2 = 73} atop {x+y = 11}} right. \\ left { {{(11-y)^2 + y^2 = 73} atop {x = 11 - y}} right. \\ left { {{121 - 22y + y^2 + y^2 = 73} atop {x = 11 - y}} right. \\ left { {{2y^2 - 22y + 48 = 0 |:2 } atop {x = 11 - y}} right. \\ left { {{y^2 - 11y + 24 = 0} atop {x = 11 - y}} right. \\ left [ {{ left { {{y = 3} atop {x = 8}} right.} atop { left { {{y = 8} atop {x = 3}} right.}} right.$
Ответ: $(3;8);(8;3)$

Answer 2

Спасибо огромное, я еще задавал вопрос насчёт одной системы, можете посмотреть пожалуйста :)