Question

Решите систему
Пожалуйста
5/x-5/y=5
3/x=2/y
ЗАМЕНИВ 1/x=a. 1/y=b​

Answer 1

Ответ:

$(-0,5; -\frac{1}{3})$

Объяснение:

$\left \{ {a = 1/x} \atop {b = 1/y} \atop} \right.$

$\left \{ {{5a - 5b = 5} \atop {3a = 2b}} \right.$

$\left \{ {{a - b = 1} \atop {3a - 2b = 0}} \right.$

$\left \{ {{2a - 2b = 2} \atop {3a - 2b = 0}} \right.$

$\left \{ {{b = a - 1} \atop {3a - 2b - 2a + 2b = -2}} \right.$

$\left \{ {{b = a - 1} \atop {a = -2}} \right.$

$\left \{ {{a = -2} \atop {b = -3}} \right.$

$1 / x = -2 => x = -0,5; 1/y = -3 => y = -\frac{1}{3}$