Question

1) 4/7(x-1) = 2/7 + x​

Answer 1

Ответ:

- 2.

Пошаговое объяснение:

Первый способ:

4/7(x-1) = 2/7 + x​

4/7х - 4/7 = 2/7 + х

4/7х - х = 2/7 + 4/7

- 3/7х = 6/7

х = 6/7 : (-3/7)

х = -2.

Второй способ решения:

4/7(x-1) = 2/7 + x​

Умножим обе части равенства на 7:

7•4/7(x-1) = 7•(2/7 + x​)

4(х-1) = 2 + 7х

4х - 4 = 2 + 7х

4х - 7х = 2 + 4

-3х = 6

х = 6 : (-3)

х = - 2.

Answer 2

To solve the equation 4/7(x - 1) = 2/7 + x, you can follow these steps:

1. Distribute the 4/7 on the left side of the equation to eliminate the fraction: (4/7) * (x - 1) = 2/7 + x

   This simplifies to: (4/7)x - (4/7) = 2/7 + x

2. Next, you can get rid of the fractions by multiplying both sides of the equation by 7 to clear the denominators: 7 * [(4/7)x - (4/7)] = 7 * (2/7 + x)

   This simplifies to: 4x - 4 = 2 + 7x

3. Now, move the terms involving x to one side of the equation and constants to the other side: 4x - 7x = 2 + 4

   This simplifies to: -3x = 6

4. Divide both sides by -3 to solve for x: x = 6 / -3

   x = -2

So, the solution to the equation is x = -2.