Question

решите пожалуйста два уравнения
$1 )| |y| - 8 \frac{1}{5} | = 2.3$
$2) |a - 5| \div ( - 2\frac{14}{19}) = - \frac{57}{104}$
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Answer 1

$| |y| - 8.2| = 2.3 \\ 1) |y| - 8.2 = 2.3 \\ |y| = 2.3 + 8.2 \\ |y| = 10.5 \\ y_{1} = 10.5 \: \: \: \: \: \: y_{2} = - 10.5 \\ \\ 2) |y| - 8.2 = - 2.3 \\ |y| = - 2.3 + 8.2 \\ |y| = 5.9 \\ y_{3} = 5.9 \: \: \: \: \: \: y_{4} = - 5.9$

Ответ : -10,5 ; -5,9 ; 5,9 ; 10,5

$|a - 5| \div ( - 2 \frac{14}{19} ) = - \frac{57}{104} \\ |a - 5| \div ( - \frac{52}{19} ) = - \frac{57}{104} \\ - \frac{19}{52} \times |a - 5| = - \frac{57}{104} \\ - \frac{52}{19} \times ( - \frac{19}{52} ) \times |a - 5| = - \frac{57}{104} \times ( - \frac{52}{19} ) \\ \frac{52 \times 19}{19 \times 52} \times |a - 5| = \frac{57 \times 52}{104 \times 19} \\ |a - 5| = \frac{3}{2} \\ |a - 5| = 1.5 \\ 1) a - 5 = 1.5 \\ a = 1.5 + 5 \\ a = 6.5 \\ \\ 2)a - 5 = - 1.5 \\ a = - 1.5 + 5 \\ a = 3.5$

Ответ : 3,5 ; 6,5