Question

3,1(2-x)+4,5=7,2-4,3(x-3,7)

Answer 1

Ответ:

2/3 * (4 1/2х - 3/5) - 5/7 * (7/15х - 7/9) = - 1 32/45

2/3 * (9/2х - 3/5) - 5/7 * (7/15х - 7/9) = - 77/45

3х - 2/5 - 1/3х + 5/9 = - 77/45

3х - 1/3х = - 77/45 + 2/5 - 5/9

2 целых 2/3х = - 77/45 + 18/45 - 25/45

8/3х = - 84/45

х = - 84/45 : 8/3

х = - 84/45 * 3/8 = - (21*1)/(15*2) = - 21/30 (сократим на 3)

х = - 7/10

х = - 0,7

Пошаговое объяснение:

2/3 * (4 1/2х - 3/5) - 5/7 * (7/15х - 7/9) = - 1 32/45

2/3 * (9/2х - 3/5) - 5/7 * (7/15х - 7/9) = - 77/45

3х - 2/5 - 1/3х + 5/9 = - 77/45

3х - 1/3х = - 77/45 + 2/5 - 5/9

2 целых 2/3х = - 77/45 + 18/45 - 25/45

8/3х = - 84/45

х = - 84/45 : 8/3

х = - 84/45 * 3/8 = - (21*1)/(15*2) = - 21/30 (сократим на 3)

х = - 7/10

х = - 0,7

Answer 2

To solve the equation 3.1(2-x) + 4.5 = 7.2 - 4.3(x-3.7), follow these steps:

1. Distribute the values on both sides of the equation: 3.1 * 2 - 3.1 * x + 4.5 = 7.2 - 4.3 * x + 4.3 * 3.7

2. Simplify both sides of the equation: 6.2 - 3.1x + 4.5 = 7.2 - 15.51x + 15.71

3. Combine like terms on each side of the equation:

   On the left side: 6.2 + 4.5 = 10.7

   On the right side: 7.2 + 15.71 = 22.91

So the equation becomes: 10.7 - 3.1x = 22.91 - 15.51x

4. Move the terms containing x to one side of the equation and constants to the other side by adding 3.1x and subtracting 10.7 from both sides:

   -3.1x + 15.51x = 22.91 - 10.7

5. Combine like terms on each side:

   12.41x = 12.21

6. Now, solve for x by dividing both sides by 12.41:

   x = 12.21 / 12.41

7. Calculate the value of x:

   x ≈ 0.983

So, the solution to the equation is approximately x ≈ 0.983.