Question

Решите уравнения: 11+3x=x-9; 8-4x=-5x-2; 9x-7=2x+21; 10-6x=5x-20; 12-5x=x-24; 8x+6=30+5x; 3x+2=x-14; 4-15x=5x-9; 2-6x=8-5x; 4x-13=27+2x; 7x-8=3x+13; 5x-10=40-x;

Answer 1

Ответ:(3-5,8x)-(2,2x+3)=163-5,8x-2,2x-3=16-8x=16x=-16/8=-26x-5(3x+2)=5(x-1)-86x-15x-10=5x-5-8-9x-10=5x-135x+9x=13-1014x=3x=3/14(3x+7)/2=(6x+4)/55(3x+7)=2(6x+4) ... 9X+13=6X+4. 3X=-9. X=-3. 9X=3+20X+8. -11X=11. X=1. 25X=-50 ... -8x=16. x=-16/8=-2. 6x-5(3x+2)=5(x-1)-8. 6x-15x-10=5x-5-8

Пошаговое объяснение:

Answer 2

Пошаговое объяснение:

11+3х=х-9

14х=х-9

х=14-9

х=5

8-4х=5х-2

4х=3х

х=4-3

х=1

9х-7=2х+21

2х=23х

Х=23-2

х=21

10-6х=5х-20

4х=15х

х=15-4

х=11

12-5х=х-24

7х=х-24

х=24-7

х=17

8х+6=30+5х

14х=35х

х=35-14

х=21

3х+2=х-14

5х=х-14

х=14-5

х=9

4-15х=5х-9

11х=4х

х=11-4

х=7

2-6х=8-5х

4х=3х

х=4-3

х=1

4х-13=27+2х

9х=29х

х=29-9

х=20

7х-8=3х+13

1х=16х

х=16-1

х=15

5х-10=40-х

5х=40-х

х=40-5

х=35

Answer 3

To solve these equations, we'll perform the necessary steps to isolate the variable (x) on one side of the equation. Let's solve each equation one by one:

1. 11 + 3x = x - 9

Subtract x from both sides: 11 + 3x - x = x - x - 9 11 + 2x = -9

Subtract 11 from both sides: 11 + 2x - 11 = -9 - 11 2x = -20

Divide by 2: x = -20 / 2 x = -10

2. 8 - 4x = -5x - 2

Add 5x to both sides: 8 - 4x + 5x = -5x + 5x - 2 8 + x = -2

Subtract 8 from both sides: 8 + x - 8 = -2 - 8 x = -10

3. 9x - 7 = 2x + 21

Subtract 2x from both sides: 9x - 7 - 2x = 2x - 2x + 21 7x - 7 = 21

Add 7 to both sides: 7x - 7 + 7 = 21 + 7 7x = 28

Divide by 7: x = 28 / 7 x = 4

4. 10 - 6x = 5x - 20

Add 6x to both sides: 10 - 6x + 6x = 5x + 6x - 20 10 = 11x - 20

Add 20 to both sides: 10 + 20 = 11x - 20 + 20 30 = 11x

Divide by 11: x = 30 / 11

5. 12 - 5x = x - 24

Add 5x to both sides: 12 - 5x + 5x = x + 5x - 24 12 = 6x - 24

Add 24 to both sides: 12 + 24 = 6x - 24 + 24 36 = 6x

Divide by 6: x = 36 / 6 x = 6

6. 8x + 6 = 30 + 5x

Subtract 5x from both sides: 8x + 6 - 5x = 30 + 5x - 5x 3x + 6 = 30

Subtract 6 from both sides: 3x + 6 - 6 = 30 - 6 3x = 24

Divide by 3: x = 24 / 3 x = 8

7. 3x + 2 = x - 14

Subtract x from both sides: 3x + 2 - x = x - x - 14 2x + 2 = -14

Subtract 2 from both sides: 2x + 2 - 2 = -14 - 2 2x = -16

Divide by 2: x = -16 / 2 x = -8

8. 4 - 15x = 5x - 9

Add 15x to both sides: 4 - 15x + 15x = 5x + 15x - 9 4 = 20x - 9

Add 9 to both sides: 4 + 9 = 20x - 9 + 9 13 = 20x

Divide by 20: x = 13 / 20

9. 2 - 6x = 8 - 5x

Add 6x to both sides: 2 - 6x + 6x = 8 - 5x + 6x 2 = 8 + x

Subtract 8 from both sides: 2 - 8 = 8 + x - 8 -6 = x

10. 4x - 13 = 27 + 2x

Subtract 2x from both sides: 4x - 13 - 2x = 27 + 2x - 2x 2x - 13 = 27

Add 13 to both sides: 2x - 13 + 13 = 27 + 13 2x = 40

Divide by 2: x = 40 / 2 x = 20

11. 7x - 8 = 3x + 13

Subtract 3x from both sides: 7x - 8 - 3x = 3x - 3x + 13 4x - 8 = 13

Add 8 to both sides: 4x - 8 + 8 = 13 + 8 4x = 21

Divide by 4: x = 21 / 4

12. 5x - 10 = 40 - x

Add x to both sides: 5x - 10 + x = 40 - x + x 6x - 10 = 40

Add 10 to both sides: 6x - 10 + 10 = 40 + 10 6x = 50

Divide by 6: x = 50 / 6 x = 25/3 or 8.33 (rounded to two decimal places)

So the solutions to the equations are as follows:

1. x = -10
2. x = -10
3. x = 4
4. x = 30 / 11 (approximately 2.73)
5. x = 6
6. x = 8
7. x = -8
8. x = 13 / 20 (approximately 0.65)
9. x = -6
10. x = 20
11. x = 21 / 4 (approximately 5.25)
12. x = 25/3 (approximately 8.33)