30.5x0.6 1.5 0.4 1 5 5 1 1 0,350204 №14. Найдите корень уравнения: 1) 4(x-6)=x-9; 2)6-3(x+1)=7-х 4) 28-x=8(x+2,8); 5) 0,3(6-3)=4,5-0,8 (7-9) 3) (8x+3)-(10x+6)-9: 62--3-2- 15. Решите уравнение: 1) 8(5-3x)6(2-4x)+7; 2) 5(-12)-6(x-10)-x. 16. для для турист при 20 день, составля пути, пройденного во второй день. Сколько килози

4(x - 6) = x - 9

4x - 24 = x - 9

4x - x = 24 - 9

3x = 15

x = 15 / 3

x = 5

6 - 3(x + 1) = 7 - x

6 - 3x - 3 = 7 - x

-3x + x = 7 - 6 + 3

-2x = 4

x = 4 / (-2)

x = -2

(8x + 3) - (10x + 6) = 9

8x + 3 - 10x - 6 = 9

8x - 10x = 9 - 3 + 6

-2x = 12

x = 12 / (-2)

x = -6

2.8 - x = 8(x + 2.8)

2.8 - x = 8x + 22.4

-x - 8x = 22.4 - 2.8

-9x = 19.6

x = 19.6 / (-9)

x = -19.6 / 9 ≈ -2.18

0.3(6 - 3y) = 4.5 - 0.8(y - 9)

1.8 - 0.9y = 4.5 - 0.8y + 7.2

-0.9y + 0.8y = 4.5 + 7.2 - 1.8

-0.1y = 9.9

y = 9.9 / (-0.1)

y = -99

\[ \frac{5}{6}(\frac{1}{2}x - \frac{2}{3}) = 3x - 2\frac{1}{4} \]

\[ \frac{5}{12}x - \frac{10}{18} = 3x - \frac{9}{4} \]

\[ \frac{5}{12}x - \frac{5}{9} = 3x - \frac{9}{4} \]

\[ \frac{5}{12}x - 3x = \frac{5}{9} - \frac{9}{4} \]

\[ \frac{5x - 36x}{12} = \frac{20 - 81}{36} \]

\[ \frac{-31x}{12} = \frac{-61}{36} \]

\[ x = \frac{-61}{36} \cdot \frac{12}{-31} \]

\[ x = \frac{61}{36} \cdot \frac{12}{31} \]

\[ x = \frac{61}{3 \cdot 31} \]

\[ x = \frac{61}{93} \]

x = 61/93

8(5 - 3x) = 6(2 - 4x) + 7

40 - 24x = 12 - 24x + 7

-24x + 24x = 12 + 7 - 40

0 = -21

Решений нет.

5(x - 12) = 6(x - 10) - x

5x - 60 = 6x - 60 - x

5x - 6x + x = -60 + 60

0 = 0

Бесконечное количество решений.