Задание 2. Найдите корень уравнения.

Решение:

1. -5+9x=10x+4

9x - 10x = 4 + 5

-x = 9

x = -9

2. -4+7x=8x+1

7x - 8x = 1 + 4

-x = 5

x = -5

3. 9+8x=6x-2

8x - 6x = -2 - 9

2x = -11

x = -11/2

4. 8+7x=9x+4

7x - 9x = 4 - 8

-2x = -4

x = 2

5. 7+8x=-2x-5

8x + 2x = -5 - 7

10x = -12

x = -12/10 = -6/5

6. 2+3x=-7x-5

3x + 7x = -5 - 2

10x = -7

x = -7/10

7. -4-6x=4x-3

-6x - 4x = -3 + 4

-10x = 1

x = -1/10

8. 1-10x=-5x+10

-10x + 5x = 10 - 1

-5x = 9

x = -9/5

9. -1-3x=2x+1

-3x - 2x = 1 + 1

-5x = 2

x = -2/5

10. -5+2x=-2x-3

2x + 2x = -3 + 5

4x = 2

x = 2/4 = 1/2

Ответ: 1) x = -9; 2) x = -5; 3) x = -11/2; 4) x = 2; 5) x = -6/5; 6) x = -7/10; 7) x = -1/10; 8) x = -9/5; 9) x = -2/5; 10) x = 1/2.