2log(3) x - 3 log(3) y = -11
3log(3) x + 2log(3) y = 3
ОДЗ x>0 y>0
умножаем первое на 2, второе на 3 и складываем
4log(3) x - 6 log(3) y = -22
9log(3) x + 6log(3) y = 9
4log(3) x - 6 log(3) y + 9log(3) x + 6log(3) y = -22 + 9
13log(3) x = -13
log(3) x = -1
x = 1/3
2*(-1) - 3log(3) y = -11
-3log(3) y = -9
log(3) y = 3
y = 27
ответ {1/3, 27}
2log(3) x - 3 log(3) y = -11
3log(3) x + 2log(3) y = 3
ОДЗ x>0 y>0
умножаем первое на 2, второе на 3 и складываем
4log(3) x - 6 log(3) y = -22
9log(3) x + 6log(3) y = 9
4log(3) x - 6 log(3) y + 9log(3) x + 6log(3) y = -22 + 9
13log(3) x = -13
log(3) x = -1
x = 1/3
2*(-1) - 3log(3) y = -11
-3log(3) y = -9
log(3) y = 3
y = 27
ответ {1/3, 27}