Question

Решите уравнения: 1. 6(х – 3) = 12 2. 14 = 7(х + 2) 3. 12х + 4 = 3(4х – 2) 4. 3х + (2х – 1) = 10 5. (3х – 2) – (х – 1) = 10 6. 2(х – 1) – 4 = 6(х + 2) 7. 6х – 3(х – 1) = 4 + 5х 8. 5х + 18 = 7х + 6(3х – 7) 9. 12 + 4(х – 3) – 2х = (5 – 3х) + 9 10. 3х – 7(3х – 4) = 5(2х – 7) пожалуйста надо срочно сегодня

Answer 1

Ответ:

1. 6(х – 3) = 12

6х - 18 = 12

6х = 30

х = 5

2. 14 = 7(х + 2)

7х + 14 = 14

7х = 0

х = 0

 

3. 12х + 4 = 3(4х – 2)

12х + 4 = 12х - 6

0 = -10

не решается

4. 3х + (2х – 1) = 10

3х + 2х - 1 = 10

5х = 9

х = 1,8

5. (3х – 2) – (х – 1) = 10

3х - 2 - х + 1 = 10

2х = 11

х = 5,5

6. 2(х – 1) – 4 = 6(х + 2)

2х - 2 - 4 = 6х + 12

-4х = 18

х = -4,5

7. 6х – 3(х – 1) = 4 + 5х

6х - 3х + 3  = 4 + 5х

-2х = 1

х = -0,5

8. 5х + 18 = 7х + 6(3х – 7)

5х + 18 = 7х + 18х - 42

-20х = -60

х = 3

9. 12 + 4(х – 3) – 2х = (5 – 3х) + 9

12 + 4х - 12 - 2х = 5 - 3х +9

5х = 14

х = 2,8

10. 3х – 7(3х – 4) = 5(2х – 7)

3х - 21х +28 = 10х - 35

-28х = -63

х = 2,25

Answer 2

Solving Equations:

1. To solve the equation 6(x - 3) = 12, we can start by simplifying the equation: - Distribute the 6: 6x - 18 = 12 - Add 18 to both sides: 6x = 30 - Divide both sides by 6: x = 5 - Therefore, the solution to the equation is x = 5.

2. For the equation 14 = 7(x + 2) + 3, we can solve it as follows: - Distribute the 7: 14 = 7x + 14 + 3 - Combine like terms: 14 = 7x + 17 - Subtract 17 from both sides: -3 = 7x - Divide both sides by 7: x = -3/7 - So, the solution to the equation is x = -3/7.

3. Let's solve the equation 12x + 4 = 3(4x - 2): - Distribute the 3: 12x + 4 = 12x - 6 - Subtract 12x from both sides: 4 = -6 - This equation is inconsistent and has no solution.

4. For the equation 3x + (2x - 1) = 10: - Simplify the equation: 3x + 2x - 1 = 10 - Combine like terms: 5x - 1 = 10 - Add 1 to both sides: 5x = 11 - Divide both sides by 5: x = 11/5 - The solution to the equation is x = 11/5.

5. Let's solve the equation (3x - 2) - (x - 1) = 10: - Simplify the equation: 3x - 2 - x + 1 = 10 - Combine like terms: 2x - 1 = 10 - Add 1 to both sides: 2x = 11 - Divide both sides by 2: x = 11/2 - Therefore, the solution to the equation is x = 11/2.

6. For the equation 2(x - 1) - 4 = 6(x + 2): - Distribute the 2 and 6: 2x - 2 - 4 = 6x + 12 - Combine like terms: 2x - 6 = 6x + 12 - Subtract 2x from both sides: -6 = 4x + 12 - Subtract 12 from both sides: -18 = 4x - Divide both sides by 4: x = -18/4 - The solution to the equation is x = -9/2.

7. Let's solve the equation 6x - 3(x - 1) = 4 + 5x: - Distribute the -3: 6x - 3x + 3 = 4 + 5x - Combine like terms: 3x + 3 = 4 + 5x - Subtract 3x from both sides: 3 = 2x + 4 - Subtract 4 from both sides: -1 = 2x - Divide both sides by 2: x = -1/2 - Therefore, the solution to the equation is x = -1/2.

8. For the equation 5x + 18 = 7x + 6(3x - 7): - Distribute the 6: 5x + 18 = 7x + 18x - 42 - Combine like terms: 5x + 18 = 25x - 42 - Subtract 5x from both sides: 18 = 20x - 42 - Add 42 to both sides: 60 = 20x - Divide both sides by 20: x = 3 - The solution to the equation is x = 3.

9. Let's solve the equation 12 + 4(x - 3) - 2x = (5 - 3x) + 9: - Distribute the 4: 12 + 4x - 12 - 2x = 5 - 3x + 9 - Combine like terms: 2x = -3x + 2 - Add 3x to both sides: 5x = 2 - Divide both sides by 5: x = 2/5 - Therefore, the solution to the equation is x = 2/5.

10. For the equation 3x - 7(3x - 4) = 5(2x - 7): - Distribute the -7 and 5: 3x - 21x + 28 = 10x - 35 - Combine like terms: -18x + 28 = 10x - 35 - Subtract 10x from both sides: -28x + 28 = -35 - Subtract 28 from both sides: -28x = -63 - Divide both sides by -28: x = 63/28 - Simplify the fraction: x = 9/4 - The solution to the equation is x = 9/4.

I hope this helps! Let me know if you have any further questions.