1. Примеры решения уравнений

• Образец решения уравнения:

5x - 3 = 2x

5x - 2x = +3 + 6

3 ⋅ x = 9

x = 9 : 3

x = 3

• Ответ: 3
• Решаем уравнения:

1) 5 – 6x = -5x + 1

5 - 1 = -5x + 6x

4 = x

x = 4

2) 5 – 3x = -7x – 9

-3x + 7x = -9 - 5

4x = -14

x = -14/4 = -7/2 = -3.5

x = -3.5

3) -7 – 4x = -10x - 6

-4x + 10x = -6 + 7

6x = 1

x = 1/6

x = 1/6

4) 5x – 3 = 12

5x = 12 + 3

5x = 15

x = 15/5

x = 3

• Решите самостоятельно

1) 2x = 18 - x

2x + x = 18

3x = 18

x = 18/3

x = 6

2) 9x + 4 = 48 - 2x

9x + 2x = 48 - 4

11x = 44

x = 44/11

x = 4

3) 7x + 3 = 30 - 2x

7x + 2x = 30 - 3

9x = 27

x = 27/9

x = 3

4) 7 - 2x = 3x - 18

-2x - 3x = -18 - 7

-5x = -25

x = -25/-5

x = 5

5) 0,4x + 3,8 = 2,6 – 0,8x

0,4x + 0,8x = 2,6 - 3,8

1,2x = -1,2

x = -1,2/1,2

x = -1

• Проверим ответы:

1) 6

2) 4

3) 3

4) 5

5) -1