Question

Помогите пожалуйста ​

Answer 1

1 задание

$20(x - 4) - 17(3 - 2x) = 58 + {3}^{3} x$

$20x - 80 - 51 + 34x = 58 + 27x$

$20x + 34x - 27x = 58 + 80 + 51$

$27x = 189$

$x = 189 \div 27 = 7$

2 задание

$- 4.5(3x + 2) + 1.6(5 - 4x) = 3.1x + 1.3$

$- 13.5x - 9 + 8 - 6.4x = 3.1x + 1.3$

$- 13.5x - 6.4x - 3.1x = 1.3 + 9 - 8$

$- 23x = 2.3$

$x = 2.3 \div ( - 23)$

$x = - 0.1$

3 задание

$\frac{5}{21} (7 - 3x) - \frac{4}{35} (5x + 7) = \frac{2}{15} - \frac{2}{7}$

$\frac{5 \times 7}{21} - \frac{5 \times 3}{21} x - \frac{4 \times 5}{35} x - \frac{4 \times 7}{35} = \frac{2}{15} - \frac{2}{7}$

$\frac{5}{3} - \frac{5}{7} x - \frac{4}{7} x - \frac{4}{5} = \frac{2}{15} - \frac{2}{7}$

$- \frac{5}{7} x - \frac{4}{7} x = \frac{2}{15} - \frac{2}{7} - \frac{5}{3} + \frac{4}{5}$

$- \frac{9}{7} x = \frac{14 - 30 - 175 + 84}{105}$

$- \frac{9}{7} x = - \frac{107}{105}$

$x = - \frac{107}{105} \div ( - \frac{9}{7} ) = \frac{107}{105} \times \frac{7}{9} = \frac{107}{135}$

4 задание

$\frac{ {3}^{2} }{ {4}^{2} } ( {2}^{5} + x) + \frac{7}{12} (36 - x) = \frac{5}{ {4}^{2} } x - 7$

$\frac{9}{16} (32 + x) + \frac{7}{12} (36 - x) = \frac{5}{16} x - 7$

$\frac{9 \times 32}{16} + \frac{9}{16} x + \frac{7 \times 36}{12} - \frac{7}{12} x = \frac{5}{16} x - 7$

$18 + \frac{9}{16} x + 21 - \frac{7}{12} x = \frac{5}{16} x - 7$

$\frac{9}{16} x - \frac{7}{12} x - \frac{5}{16} x = - 7 - 18 - 21$

$\frac{21 - 28 - 15}{48} x = - 46$

$- \frac{16}{48} x = - 46$

$- \frac{1}{3} x = - 46$

$x = - 46 \div ( - \frac{1}{3} ) = 46 \times 3 = 138$