Question

ПОМОГИТЕ СРОЧНО ПОЖАЛУЙСТА ДАМ 20 БАЛОВ!!! 1. 8x - 9 = 3x + 162. 6(3x – 4) – 4x=43. 5x - 6 = 7x + 4(3x + 2)4. 2x – 6(2x – 5) = 5(4x - 3)5. 3(5x - 2) - 4(3x - 5) = 7x - 26. 6(x + 2) -0,7 = 3(2x + 4) +1,3​

Answer 1

Ответ:

Пошаговое объяснение:

1)

8х-9=3х+16

8х-3х=16+9

5х=25

х=25:5

х=5

2)

6(3х-4)-4х=4

18х-24-4х=4

14х=28

х=28:4

х=2

3)

5х-6=7х+4(3х+2)

5х-6=7х+12х+8

19х-5х=-14

14х=-14

х=-14:14

х=-1

4)

2х-6(2х-5)=5(4х-3)

2х-12х+30=20х-15

20х+10х=30+15

30х=45

х=45:30

х=9/6=3/2=1,5

5)

3(5х-2)-4(3х-5)=7х-2

15х-6-12х+20=7х-2

3х-7х=-14-2

-4х=-16

х=-16:-4

х=4

6)

6(х+2)-0,7=3(2х+4)+1,3

6х+12-0,7=6х+12+1,3

6х+11,3-6х-13,3=0

-2=0

не имеет смысла, возможно в уравнении ошибка

Answer 2

1. 8x - 9 = 3x + 162 To solve this equation, we need to isolate the variable on one side of the equation. We can do this by moving all the terms involving x to one side of the equation and the constant terms to the other side. First, let's subtract 3x from both sides of the equation: 8x - 3x - 9 = 3x - 3x + 162 5x - 9 = 162 Next, let's add 9 to both sides of the equation to move the constant term to the other side: 5x - 9 + 9 = 162 + 9 5x = 171 Finally, divide both sides of the equation by 5 to solve for x: 5x/5 = 171/5 x = 34.2 So the solution to the equation is x = 34.2. 2. 6(3x – 4) – 4x = 4 First, let's distribute the 6 to the terms inside the parentheses: 18x - 24 - 4x = 4 Next, combine like terms by adding the x terms together and move the constant term to the other side: 18x - 4x - 24 = 4 14x - 24 = 4 Then, add 24 to both sides of the equation: 14x - 24 + 24 = 4 + 24 14x = 28 Finally, divide both sides of the equation by 14 to solve for x: 14x/14 = 28/14 x = 2 So the solution to the equation is x = 2. 3. 5x - 6 = 7x + 4(3x + 2) First, let's simplify the right side of the equation by multiplying the 4 to the terms inside the parentheses: 5x - 6 = 7x + 12x + 8 Next, combine like terms on the right side of the equation: 5x - 6 = 19x + 8 Then, move the constant term to the other side of the equation by subtracting 19x from both sides: 5x - 19x - 6 = 19x - 19x + 8 -14x - 6 = 8 Next, add 6 to both sides of the equation: -14x - 6 + 6 = 8 + 6 -14x = 14 Finally, divide both sides of the equation by -14 to solve for x: -14x/-14 = 14/-14 x = -1 So the solution to the equation is x = -1. 4. 2x - 6(2x - 5) = 5(4x - 3) First, distribute the -6 to the terms inside the parentheses on the left side of the equation: 2x - 6(2x) + 6(5) = 5(4x) - 5(3) 2x - 12x + 30 = 20x - 15 Next, combine like terms on both sides of the equation: -10x + 30 = 20x - 15 Then, move the constant term to the other side by subtracting 20x from both sides: -10x - 20x + 30 = 20x - 20x - 15 -30x + 30 = -15 Next, subtract 30 from both sides of the equation: -30x + 30 - 30 = -15 - 30 -30x = -45 Finally, divide both sides of the equation by -30 to solve for x: -30x/-30 = -45/-30 x = 1.5 So the solution to the equation is x = 1.5. 5. 3(5x - 2) - 4(3x - 5) = 7x - 26 First, distribute the 3 to the terms inside the parentheses on the left side of the equation, and distribute the -4 to the terms inside the parentheses on the right side of the equation: 15x - 6 - 12x + 20 = 7x - 26 Next, combine like terms on both sides of the equation: 15x - 12x + 20 + 6 = 7x - 26 Then, combine like terms again: 3x + 26 = 7x - 26 Next, move the x terms to one side of the equation by subtracting 3x from both sides: 3x - 3x + 26 = 7x - 3x - 26 26 = 4x - 26 Next, move the constant term to the other side of the equation by adding 26 to both sides: 26 + 26 = 4x - 26 + 26 52 = 4x Finally, divide both sides of the equation by 4 to solve for x: 52/4 = 4x/4 13 = x So the solution to the equation is x = 13. 6. 6(x + 2) - 0.7 = 3(2x + 4) + 1.3 First, distribute the 6 to the term inside the parentheses on the left side of the equation: 6x + 12 - 0.7 = 3(2x + 4) + 1.3 Next, distribute the 3 to the terms inside the parentheses on the right side of the equation: 6x + 12 - 0.7 = 6x + 12 + 1.3 Combine like terms on both sides of the equation: 6x + 11.3 = 6x + 13.3 Next, move the x terms to one side of the equation by subtracting 6x from both sides: 6x - 6x + 11.3 = 6x - 6x + 13.3 11.3 = 13.3 Since the equation 11.3 = 13.3 is not true, there is no solution to this equation. Therefore, the solutions to the given equations are: 1. x = 34.2 2. x = 2 3. x = -1 4. x = 1.5 5. x = 13 6. There is no solution.