Question

1)2у-12=18-4у 2)6а+24=2а+133)4,7-8х=4,9-10хпожалуйста с объяснением ​

Answer 1

Ответ:

1) у = 3,75;

2) а = -2,75;

3) х = 10.

Пошаговое объяснение:

1) Дано уравнение:

2у - 12 = 18 - 4у

Переносим с игреком влево, без игрека вправо, при переносе меняем знак:

2у + 4у = 18 + 12

Вычисляем:

8у = 30

Чтобы узнать один из множителей нужно частное разделить на известный множитель:

у = 30/8

у = 30/8 или 3,75.

2) Данво уравнение:

6а + 24 = 2а + 13

Переносим с а влево, без а вправо, при переносе меняем знак:

6а - 2а = -24 + 13

Вычисляем:

4а = -11

Чтобы узнать один из множителей, надо частное разделить на известный множитель:

а = -11/4 или -2,75.

3) Дано уравнение:

4,7 - 8х = 4,9 - 10х

Переносим с иксом влево, без икса вправо, при переносе меняем знак:

-8х + 10х = -4,7 + 4,9

Вычисляем:

2х = 0,2

Чтобы узнать неизвестный множитель, надо частное разделить на известный множитель:

х = 2/0,2

х = 10.

Answer 2

1) To solve the equation 2у - 12 = 18 - 4у, we can start by simplifying both sides of the equation.

On the left side, we have 2у - 12. To simplify this, we can combine like terms. Since there is only one term with у, we can rewrite it as 2у.

On the right side, we have 18 - 4у. Similarly, we can combine like terms. The constant terms are 18 and -4у. When we subtract 4у from 18, we get 18 - 4у.

Now, our equation becomes 2у = 18 - 4у.

To isolate the variable у, we can add 4у to both sides of the equation. This gives us 2у + 4у = 18 - 4у + 4у.

Simplifying further, we have 6у = 18.

Finally, to solve for у, we divide both sides of the equation by 6. This gives us у = 18/6.

Simplifying the right side, we have у = 3.

Therefore, the solution to the equation 2у - 12 = 18 - 4у is у = 3.

2) Let's solve the equation 6а + 24 = 2а + 13.

To begin, we can simplify both sides of the equation. On the left side, we have 6а + 24. To simplify this, we can combine like terms. Since there is only one term with а, we can rewrite it as 6а.

On the right side, we have 2а + 13. Similarly, we can combine like terms. The constant terms are 2а and 13. When we add 2а to 13, we get 2а + 13.

Now, our equation becomes 6а = 2а + 13.

To isolate the variable а, we can subtract 2а from both sides of the equation. This gives us 6а - 2а = 2а + 13 - 2а.

Simplifying further, we have 4а = 13.

Finally, to solve for а, we divide both sides of the equation by 4. This gives us а = 13/4.

Simplifying the right side, we have а = 3.25.

Therefore, the solution to the equation 6а + 24 = 2а + 13 is а = 3.25.

3) Let's solve the equation 4.7 - 8х = 4.9 - 10х.

To begin, we can simplify both sides of the equation. On the left side, we have 4.7 - 8х. To simplify this, we can combine like terms. The constant term is 4.7.

On the right side, we have 4.9 - 10х. Similarly, we can combine like terms. The constant term is 4.9.

Now, our equation becomes 4.7 - 8х = 4.9 - 10х.

To isolate the variable х, we can add 10х to both sides of the equation. This gives us 4.7 - 8х + 10х = 4.9 - 10х + 10х.

Simplifying further, we have 2х = 0.2.

Finally, to solve for х, we divide both sides of the equation by 2. This gives us х = 0.2/2.

Simplifying the right side, we have х = 0.1.

Therefore, the solution to the equation 4.7 - 8х = 4.9 - 10х is х = 0.1.

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