Verified answer

1)

[tex] - (6x - 5) = 4x - 9 \\ - 6x + 5 = 4x - 9 \\ - 6x - 4x = - 9 - 5 \\ - 10x = - 14 \\ 10x = 14 \\ x = 14 \div 10 \\ x = 1.4[/tex]

2)

[tex]x - 4 = \frac{2}{9} x+ \frac{5}{18} \\ x - \frac{2}{9} x = \frac{5}{18} + 4 \\ \frac{7}{9} x = 4 \frac{5}{18} \\ x = \frac{77}{18} \div \frac{7}{9} \\ x = \frac{77 \times9 }{18 \times 7} \\ x = \frac{11}{2} \\ x = 5 \frac{1}{2} \\ x = 5.5[/tex]

3)

[tex] \frac{2}{7} x - 23 = - 3 - \frac{1}{7} x - 23 \\ \frac{2}{7} x + \frac{1}{7} x = - 3 - 23 + 23 \\ \frac{3}{7} x = - 3 \\ x = - 3 \div \frac{3}{7} \\ x = - \frac{ 3 \times 7}{3} \\ x = - 7[/tex]

4)

[tex]2x( - x + 5)(6x + 13) = 0 \\ 1) \: \: 2x = 0 \\ x _{1 } = 0 \\ 2) \: \: - x + 5 = 0 \\ x_{2} = 5 \\ 3) \: \: 6x + 13 = 0 \\ 6x = - 13 \\ x_{3} = - \frac{13}{6 } \\ x_{3} = - 2 \frac{1}{6} [/tex]

5)

[tex] \frac{3(2x - 6.3)}{5} = \frac{2(3x + 2.4)}{7} \\ 21(2x - 6.3) = 10(3x + 2.4) \\ 42x - 132.3 = 30x + 24 \\ 42x - 30x = 24 + 132.3 \\ 12x = 156.3 \\ x = \frac{1563}{120} \\ x = \frac{521}{40} \\ x = 13 \frac{1}{40} [/tex]

Пошаговое объяснение:

-(6х - 5) = 4х - 9

-6х + 5 = 4х - 9

-6х - 4х = -9 - 5

-10х = -14

х = -14 : (-10)

х = 1,4

х - 4 = 2/9х + 5/18

х - 2/9х = 5/18 + 4

7/9х = 4 5/18

7/9х = 77/18

х = 77/18 : 7/9

х = 77/18 * 9/7

х = 11/2 * 1/1

х = 11/2

х = 5 1/2

2/7х - 23 = -3 - 1/7х - 23

2/7х + 1/7х = -3 - 23 + 23

3/7х = -3

х = -3 : 3/7

х = -3 * 7/3

х = -7

2х(-х + 5)(6х + 13) = 0

1)

2х = 0

х1 = 0

2)

-х + 5 = 0

-х = -5

х2 = 5

3)

6х + 13 = 0

6х = -13

х = -13/6

х3 = -2 1/6

3(2х - 6,3)/5 = 2(3х + 2,4)/7

21(2х - 6,3) = 10(3х + 2,4)

42х - 132,3 = 30х + 24

42х - 30х = 24 + 132,3

12х = 156,3

х = 156,3 : 12

х = 13,025