Question

4у = 24 + у; 8х - 8 = 20 – 6х; 0,6х – 5,4 = - 0,8х + 5,8; 4( х – 3) = х + 6; - 3(у – 1) = 2(2у – 8) + 12.

Answer 1

Ответ:

1)4у = 24 + у;

3y=24 I:3

y=8

2)8х - 8 = 20 – 6х;

14x=28 I:14

x=2

3)0,6х – 5,4 = - 0,8х + 5,8;

1,4x=11,2 I:1,4

x=8

4)4( х – 3) = х + 6;

4x-12=x+6

3x=18 I:3

x=6

5)- 3(у – 1) = 2(2у – 8) + 12.

-3y+3=4y-16+12

-7y=7 I:(-7)

y=-1

Пошаговое объяснение:

Answer 2

Ответ:

Пошаговое объяснение:

4y=24+y

4y-y=24

3y=24

y=24/3

y=8

8x-8=20-6x

8x+6x=20+8

14x=28

x=28/14

x=2

0.6x-5.4=-0.8x+5.8

0.6x+0.8x=5.8+5.4

1.4x=11.2

x=11.2/1.4

x=8

4(x-3)=x+6

4x-12=x+6

4x-x=6+12

3x=18

x=18/3

x= 6

-3(y-1)=2(2y-8)+12

-3y+3=4y-16+12

-3y-4y=-16+12-3

-7y=-7

y=-7/-7

y=1

Answer 3

Let's solve each of the given equations step by step:

1. 4у = 24 + у

We can simplify this equation by subtracting у from both sides:

4у - у = 24

Combining like terms:

3у = 24

Dividing both sides by 3:

у = 8

Therefore, the solution to this equation is у = 8.

2. 8х - 8 = 20 – 6х

To solve this equation, let's start by combining like terms:

8х + 6х = 20 + 8

14х = 28

Dividing both sides by 14:

х = 2

The solution to this equation is х = 2.

3. 0.6х – 5.4 = -0.8х + 5.8

To simplify this equation, let's gather the х terms on one side and the constant terms on the other side:

0.6х + 0.8х = 5.8 + 5.4

1.4х = 11.2

Dividing both sides by 1.4:

х = 8

So, the solution to this equation is х = 8.

4. 4(х – 3) = х + 6

Expanding the left side of the equation:

4х - 12 = х + 6

Now, let's gather the х terms on one side and the constant terms on the other side:

4х - х = 6 + 12

3х = 18

Dividing both sides by 3:

х = 6

Therefore, the solution to this equation is х = 6.

5. -3(у – 1) = 2(2у – 8) + 12

Expanding the left and right sides of the equation:

-3у + 3 = 4у - 16 + 12

Combining like terms:

-3у + 3 = 4у - 4

Adding 3у to both sides:

3 = 7у - 4

Now, let's gather the у terms on one side and the constant terms on the other side:

7у - у = 3 + 4

6у = 7

Dividing both sides by 6:

у = 7/6

The solution to this equation is у = 7/6 or approximately 1.17.

So, the solutions to the given equations are: у = 8 х = 2 х = 8 х = 6 у = 7/6 or approximately 1.17.