Question

А) 4(х – 5) = 3х; б) 6(х + 2) = 18; в) 2(2х + 4) = -3х; ​ г) 2(х + 3) = 3(х - 4); д) -(3х + 1) = 2х; е) 3(2х – 5) = 5х + 3; ж) 2(у - 6) – 3y = 4y – y; з) 2(x + 1,5) – 2 = x – 3; ​ к) 5,6х – 6 + 1,4x = 2,5(х - 1); л) -0,3(3 - х) = 0,3х + 0,3(5х + 2); м) ; н) 3x - (3,5 - 2х) = 3

Answer 1

Ответ:

Пошаговое объяснение:

а) 4(x - 5) = 3x

4x - 20 = 3x

4x - 3x = 20

x = 20

Ответ: 20.

б) б) 6(х + 2) = 18

6x + 12 = 18

6x = 6

x = 1

Ответ: 1.

в) 2(2х + 4) = -3х

4x + 8 = -3x

4x + 3x = -8

7x = -8

x = - 1 1/7

Ответ: - 1 1/7.

​

г) 2(х + 3) = 3(х - 4)

2x + 6 = 3x - 12

2x - 3x = -12 - 6

-x = -18

x = 18

Ответ: 18.

д) -(3х + 1) = 2х

-3x - 1 = 2x

-3x -2 x = 1

-5x = 1

x = -1/5

Ответ: -1/5.

е) 3(2х – 5) = 5х + 3

6x - 15 = 5x + 3

6x - 5x = 3 + 15

x = 18

Ответ: 18.

ж) 2(у - 6) – 3y = 4y – y

2y - 12 - 3y = 4y - y

2y - 3y - 4y + y = 12

-4y = 12

y = -3

Ответ: -3.

з) 2(x + 1,5) – 2 = x – 3

2x + 3 - 2 = x - 3

2x - x = -3 - 3 + 2

x = -4

Ответ: -4.

к) 5,6х – 6 + 1,4x = 2,5(х - 1)

5,6x - 6 + 1,4x = 2,5x - 2,5

5,6x + 1,4x - 2,5x = -2,5 + 6

4,5x = 3,5

x = 7/9

Ответ: 7/9.

л) -0,3(3 - х) = 0,3х + 0,3(5х + 2)

-0,9 + 0,3x = 0,3x + 1,5x + 0,6

0,3x - 0,3x - 1,5 x = 0,6 + 0,9

-1,5x = 1,5

x = -0,1

Ответ: -0,1.

н) 3x - (3,5 - 2х) = 3

3x - 3,5 + 5x = 3

3x - 5x = 3 + 3,5

-2x = 6,5

x= -3,25

Ответ: -3,25

Answer 2

А) 4(х – 5) = 3х

To solve this equation, we'll distribute the 4 to the terms inside the parentheses:

4x - 20 = 3x

Next, we'll move all the terms with x to one side of the equation and the constant terms to the other side:

4x - 3x = 20

Simplifying:

x = 20

So the solution to the equation is x = 20.

б) 6(х + 2) = 18

Again, we'll distribute the 6 to the terms inside the parentheses:

6x + 12 = 18

Next, we'll move the constant term to the other side:

6x = 18 - 12

Simplifying:

6x = 6

Dividing both sides of the equation by 6:

x = 1

So the solution to the equation is x = 1.

в) 2(2х + 4) = -3х

Distributing the 2 to the terms inside the parentheses:

4x + 8 = -3x

Moving the terms with x to one side and the constant term to the other side:

4x + 3x = -8

Simplifying:

7x = -8

Dividing both sides by 7:

x = -8/7

So the solution to the equation is x = -8/7.

г) 2(х + 3) = 3(х - 4)

Expanding the equation:

2x + 6 = 3x - 12

Moving the terms with x to one side and the constant term to the other side:

2x - 3x = -12 - 6

Simplifying:

-x = -18

Multiplying both sides by -1:

x = 18

So the solution to the equation is x = 18.

д) -(3х + 1) = 2х

Distributing the negative sign to the terms inside the parentheses:

-3x - 1 = 2x

Moving the terms with x to one side and the constant term to the other side:

-3x - 2x = 1

Simplifying:

-5x = 1

Dividing both sides by -5:

x = -1/5

So the solution to the equation is x = -1/5.

е) 3(2х – 5) = 5х + 3

Distributing the 3 to the terms inside the parentheses:

6x - 15 = 5x + 3

Moving the terms with x to one side and the constant term to the other side:

6x - 5x = 3 + 15

Simplifying:

x = 18

So the solution to the equation is x = 18.

ж) 2(у - 6) – 3y = 4y – y

Expanding the equation:

2y - 12 - 3y = 4y - y

Combining like terms on both sides:

-y - 12 = 3y

Moving the terms with y to one side and the constant term to the other side:

-y - 3y = 12

Simplifying:

-4y = 12

Dividing both sides by -4:

y = -3

So the solution to the equation is y = -3.

з) 2(x + 1.5) - 2 = x - 3

Expanding the equation:

2x + 3 - 2 = x - 3

Combining like terms:

2x + 1 = x - 3

Moving the terms with x to one side and the constant term to the other side:

2x - x = -3 - 1

Simplifying:

x = -4

So the solution to the equation is x = -4.

к) 5.6x - 6 + 1.4x = 2.5(x - 1)

Expanding the equation:

5.6x - 6 + 1.4x = 2.5x - 2.5

Combining like terms:

7x - 6 = 2.5x - 2.5

Moving the terms with x to one side and the constant term to the other side:

7x - 2.5x = -2.5 + 6

Simplifying:

4.5x = 3.5

Dividing both sides by 4.5:

x = 3.5/4.5

So the solution to the equation is x = 7/9.

л) -0.3(3 - x) = 0.3x + 0.3(5x + 2)

Expanding the equation:

-0.9 + 0.3x = 0.3x + 1.5x + 0.6

Combining like terms:

0.3x - 0.9 = 1.8x + 0.6

Moving the terms with x to one side and the constant term to the other side:

0.3x - 1.8x = 0.6 + 0.9

Simplifying:

-1.5x = 1.5

Dividing both sides by -1.5:

x = -1

So the solution to the equation is x = -1.

м) This equation is incomplete. Please provide the missing information for solving the equation.

н) 3x - (3.5 - 2x) = 3

Simplifying the equation:

3x - 3.5 + 2x = 3

Combining like terms:

5x - 3.5 = 3

Moving the constant term to the other side:

5x = 3 + 3.5

Simplifying:

5x = 6.5

Dividing both sides by 5:

x = 6.5/5

So the solution to the equation is x = 1.3.