Question

Уравнение 1/3(3х-6)-2/7(7х-21)=9

Answer 1

Ответ:

х=-5

Пошаговое объяснение:

Раскрываем скобки: 3х/3 - 6/3 - 14х/7 + 42/7 = 9

Сокращаем дроби: х - 2 - 2х + 6 = 9

Далее приводим подобные: -х + 4 = 9

Находим х: -х = 9 - 4

                    -х = 5

                     х = -5

Answer 2

To solve the equation 1/3(3x - 6) - 2/7(7x - 21) = 9, follow these steps:

Step 1: Clear the fractions by multiplying the entire equation by the least common multiple (LCM) of the denominators, which is 21 (3 * 7).

Step 2: Simplify the equation and solve for x.

Let's proceed with the solution:

1/3(3x - 6) - 2/7(7x - 21) = 9

Step 1: Multiply the entire equation by 21 (LCM of 3 and 7):

21 * [1/3(3x - 6)] - 21 * [2/7(7x - 21)] = 21 * 9

Simplify:

7(3x - 6) - 3(7x - 21) = 189

Step 2: Distribute the values inside the parentheses:

21x - 42 - 21x + 63 = 189

Combine like terms:

21x - 21x - 42 + 63 = 189

21 = 189

Step 3: Analyze the equation:

We get the equation 21 = 189, which is not true. This means there is no solution for x that satisfies the original equation.

Therefore, the given equation has no solution for x.