Question

Пожалуйста СРОЧНО ТРАЧУ ПОСЛЕДНИЕ БАЛЛЫ ПОМОГИТЕ С НОМЕРАМИ
№908,911,913,914 полностью буду очень благодарна

Answer 1

908.
$|x| + 3 = 5 \\ |x| = 2 \\ x_{1} = 2 \: \: x_{2}= - 2$
$|y| - 2 = 1 \\ |y| = 3 \\ y_{1} = 3 \: \: \: y_{2} = - 3$
$|2x | + 3 = 9 \\ |2x| = 6 \\ 2x = 6 \: \: \: x _{1}= 3 \\ 2x = - 6 \: \: \: x _{2} = - 3$
$|5y| - 4 = 6 \\ |5y| = 10 \\ 5y = 10 \: \: \: y _{1} = 2 \\ 5y = - 10 \: \: \: y _{2}= - 2$
$\frac{3}{7} + |4x| = 1 \\ |4x| = \frac{4}{7} \\ 4x = \frac{4}{7} \: \: \: x _{1} = \frac{1}{7} \\ 4x = - \frac{4}{7} \: \: \: x _{2} = - \frac{1}{7}$
$4 + |3y| = 7 \\ |3y| = 3 \\ 3y = 3 \: \: \: y _{1} = 1 \\ 3y = - 3 \: \: \: y_{2} = - 1$
911.
$|x - 4| = 2 \\ x - 4 = 2 \: \: \: x _{1} = 6 \\ x - 4 = - 2 \: \: \: x _{2} = 2$
$|y + 5| = 3 \\ y + 5 = 3 \: \: \: y _{1} = - 2 \\ y + 5 = - 3 \: \: \: y _{2} = - 8$
$|3 + x| = 1.5 \\ 3 + x = 1.5 \: \: \: x_{1} = - 1.5 \\ 3 + x = - 1.5 \: \: \: x_{2} = - 4.5$
$|7 - y| = - 2$
Решений нет. Функция модуля всегда положительна.
$|x + 3| + 4= 9 \\ |x + 3| = 5 \\ x + 3 = 5 \: \: \: x_{1} = 2 \\ x + 3 = - 5 \: \: \: x _{2} = - 8$
$|y - 2| + 8 = 5 \\ |y - 2| = - 3$
Решений нет. Функция можуля положительна.

913.
$5 |x| + 3 = 7 \\ 5 |x| = 4 \\ |x| = \frac{4}{5} \\ x _{1} = \frac{4}{5} \\ x _{2} = - \frac{4}{5}$
$1.7 |x| + 4.9 = 10 \\ 1. 7|x| = 5.1 \\ |x| = 3 \\ x_{1} = 3 \\ x_{2} = - 3$
$2.5 |3y| = 15 \\ |3y| = 6 \\ 3y = 6 \: \: \: y_{1} = 2 \\ 3y = - 6 \: \: \: y_{2} = - 2$
914.
$|2x + 14| = 6 \\ 2x + 14 = 6 \: \: \: 2x = - 8 \: \: \: x _{1} = - 4\\ 2x + 14 = - 6\: \: \: 2x = - 20 \: \: \: x_{2} = - 10$
$|9x - 18| = 27 \\ 9x - 18 = 27 \: \: \: 9x = 45 \: \: \: x_{1} = 5 \\ 9x - 18 = - 27 \: \: \: 9x = - 9 \: \: \: x_{2}= - 1$
$|8x + 12| = 20 \\ 8x + 12 = 20 \: \: \: 8x = 8 \: \: \: x_{1} = 1 \\ 8x + 12 = - 20 \: \: \: 8x = - 32 \: \: \: x_{2} = - 4$
$|15x - 10| = 5 \\ 15x - 10 = 5 \: \: \: 15x = 15 \: \: \: x _{1} = 1 \\ 15x - 10 = - 5 \: \: \: 15x = 5 \: \: \: x_{2} = \frac{1}{3}$
$|9x + 15| = 6 \\ 9x + 15 = 6 \: \: \: 9x = - 9 \: \: \: x _{1} = - 1 \\ 9x + 15 = - 6 \: \: \: 9x = - 21 \: \: \: x_{2} = - \frac{7}{3}$
$|8x - 6| = 14 \\ 8x - 6 = 14 \: \: \: 8x = 20 \: \: \: x_{1} = 2.5 \\ 8x - 6 = - 14 \: \: \: 8x = - 8 \: \: \: x_{2} = - 1$