Question

1324. 1) 3(x - 2) = 4x;3) 3(2x - 7) = 9;2) 5(y + 3) = 10;4) 6(2 - 1) = 18.​

Answer 1

Ответ:

Пошаговое объяснение:

1) 3(x - 2) = 4x;

3x - 6 = 4x

4x - 3x = -6

x = -6

3) 3(2x - 7) = 9;

6x - 21 = 9

6x = 9+21

6x = 30

x = 30 : 6

x = 5

2) 5(y + 3) = 10;

5y + 15 = 10

5y = 10-15

5y = -5

y = -5 : 5

y = -1

4) 6(2x - 1) = 18

12x - 6 = 18

12x = 18+6

12x = 24

x = 24 : 12

x = 2

Answer 2

Ответ:

Пошаговое объяснение:

1)

3х - 6 = 4х

3х - 4х = 6

-х = 6

х = -6

2)

5у + 15 = 10

5у = 10 - 15

5у = -5

у = -5 : 5

у = -1

3)

6х - 21 = 9

6х = 9 + 21

6х = 30

х = 30 : 6

х = 5

4)

Answer 3

To solve these equations, you'll need to isolate the variables (x and y) on one side of the equation. Here are the steps to solve each equation:

1. 3(x - 2) = 4x

First, distribute the 3 on the left side:

3x - 6 = 4x

Now, move all terms involving x to one side of the equation and constants to the other side:

3x - 4x = 6

-x = 6

To isolate x, multiply both sides by -1:

x = -6

2. 5(y + 3) = 10

First, distribute the 5 on the left side:

5y + 15 = 10

Now, move all terms involving y to one side of the equation and constants to the other side:

5y = 10 - 15

5y = -5

To isolate y, divide both sides by 5:

y = -1

3. 3(2x - 7) = 9

First, distribute the 3 on the left side:

6x - 21 = 9

Now, move all terms involving x to one side of the equation and constants to the other side:

6x = 9 + 21

6x = 30

To isolate x, divide both sides by 6:

x = 5

4. 6(2 - 1) = 18

First, simplify the left side of the equation:

6(1) = 18

Now, you have:

6 = 18

This equation is not true. There is no value of x that will make this equation true, so there is no solution.

So, the solutions to the equations are:

1. x = -6
2. y = -1
3. x = 5
4. No solution