Question

4х-9=3 равносильны Ли уровнения 6(х-5)=2х-18​

Answer 1

Ответ:

Пошаговое объяснение:

4х-9=3

4х=3+9

4х=12

х=12:4

х=3

6(х-5)=2х-18​

6х-30=2х-18

6х-2х=30-18

4х=12

х=12:4

х=3

равносильны

Answer 2

Ответ:

Равносильны

Пошаговое объяснение:

1) 4x - 9 = 3

Перенесем -9 в правую часть , тогда получим:

4х = 3 + 9

4х = 12

Откуда

х = 3

Решаем 2 уравнение

6(х - 5) = 2х - 18

6х - 30 = 2х - 18

Переносим х - сы (иксы) влево, а числа вправо, тогда:

6х - 2х = -18 + 30

4х = 12

Откуда:

х = 3

Следовательно, приходим к выводу, что уравнения равносильны

Answer 3

To determine if the equations 4x-9=3 and 6(x-5)=2x-18 are equivalent, we need to check if they produce the same solutions for the variable x.

Let's solve each equation separately:

1. Equation 4x-9=3: Add 9 to both sides to isolate the term with x: 4x - 9 + 9 = 3 + 9 4x = 12 Now, divide both sides by 4 to solve for x: x = 12/4 x = 3

2. Equation 6(x-5)=2x-18: Distribute the 6 on the left side: 6x - 30 = 2x - 18 Subtract 2x from both sides to isolate the term with x: 6x - 2x - 30 = 2x - 2x - 18 4x - 30 = -18 Add 30 to both sides: 4x - 30 + 30 = -18 + 30 4x = 12 Now, divide both sides by 4 to solve for x: x = 12/4 x = 3

Both equations produce the same solution for x, which is x = 3. Therefore, the two equations are equivalent.