Question

Помогите решить уравнения:1. 7x-11=10x+162. 5,6+0,6x=0,3x-1,33. 0,37x-8,92=0,38x-3,594. 5(2=1,5x)-0,5x=245. 3(0,5x-4)=8,5x=186. 2-3(x+2)=5-2x7. 3-5(x+1)=6-4x8. 0,4=0,4-2(x+2)9. 4x-5,5=5x-3(2x-1,5)

Answer 1

1)
7Х - 10Х = 16 + 11
- 3Х = 27 
Х = - 9 
----------------------
2) 
0,6X - 0,3X = - 1,3 - 5,6 
0,3X = - 6,9 
X = - 23 
----------------------
3)
0,37X - 0,38X = - 3,59 + 8,92 
0,01X = 5,33 
X = 533 
----------------------
4) 
10 + 7,5X - 0,5X = 24 
7X = 14
X = 2 
---------------------
5) 
1,5X - 12 + 8,5X = 18 
10X = 30 
X = 3
-------------------
6) 
2 - 3X - 6 = 5 - 2X 
- 4 - 5 =-  2X + 3X 
X = - 9 
---------------------
7) 
3 - 5X - 5 = 6 - 4X 
- 2 - 6 = 5X - 4X 
X = - 8 
------------------
8) 
0,4 = 0,4 - 2X - 4 
- 2X = 0,4 + 3,6 
- 2X = 4 
X = - 2 
----------------
9) 
4X - 5,5 = 5X - 6X + 4,5 
4X + X = 4,5 + 5,5 
5X = 10 
X = 2

Answer 2

Sure! I can help you solve these equations step by step. Let's solve each equation one by one:

1. 7x - 11 = 10x + 16

To solve this equation, we need to isolate the variable x on one side of the equation. Let's start by moving the terms with x to one side and the constant terms to the other side:

7x - 10x = 16 + 11

Simplifying the equation, we get:

-3x = 27

Now, let's solve for x by dividing both sides of the equation by -3:

x = 27 / -3

Simplifying further, we get:

x = -9

So, the solution to the equation is x = -9.

2. 5.6 + 0.6x = 0.3x - 1.3

Let's start by moving the terms with x to one side and the constant terms to the other side:

0.6x - 0.3x = -1.3 - 5.6

Simplifying the equation, we get:

0.3x = -6.9

Now, let's solve for x by dividing both sides of the equation by 0.3:

x = -6.9 / 0.3

Simplifying further, we get:

x = -23

So, the solution to the equation is x = -23.

3. 0.37x - 8.92 = 0.38x - 3.59

Let's start by moving the terms with x to one side and the constant terms to the other side:

0.37x - 0.38x = -3.59 + 8.92

Simplifying the equation, we get:

-0.01x = 5.33

Now, let's solve for x by dividing both sides of the equation by -0.01:

x = 5.33 / -0.01

Simplifying further, we get:

x = -533

So, the solution to the equation is x = -533.

4. 5(2 + 1.5x) - 0.5x = 24

Let's simplify the equation step by step:

10 + 7.5x - 0.5x = 24

Combine like terms:

7x + 10 = 24

Now, move the constant term to the other side:

7x = 24 - 10

Simplifying:

7x = 14

Finally, solve for x by dividing both sides of the equation by 7:

x = 14 / 7

Simplifying, we get:

x = 2

So, the solution to the equation is x = 2.

5. 3(0.5x - 4) = 8.5x - 18

Let's simplify the equation step by step:

1.5x - 12 = 8.5x - 18

Now, move the constant term to the other side:

1.5x - 8.5x = -18 + 12

Combine like terms:

-7x = -6

Finally, solve for x by dividing both sides of the equation by -7:

x = -6 / -7

Simplifying, we get:

x = 6/7

So, the solution to the equation is x = 6/7.

6. 2 - 3(x + 2) = 5 - 2x

Let's simplify the equation step by step:

2 - 3x - 6 = 5 - 2x

Now, combine like terms:

-3x - 4 = -2x + 5

Let's move the terms with x to one side and the constant terms to the other side:

-3x + 2x = 5 + 4

Simplifying, we get:

-x = 9

Finally, solve for x by multiplying both sides of the equation by -1:

x = -9

So, the solution to the equation is x = -9.

7. 3 - 5(x + 1) = 6 - 4x

Let's simplify the equation step by step:

3 - 5x - 5 = 6 - 4x

Now, combine like terms:

-5x - 2 = -4x + 6

Let's move the terms with x to one side and the constant terms to the other side:

-5x + 4x = 6 + 2

Simplifying, we get:

-x = 8

Finally, solve for x by multiplying both sides of the equation by -1:

x = -8

So, the solution to the equation is x = -8.

8. 0.4 = 0.4 - 2(x + 2)

Let's simplify the equation step by step:

0.4 = 0.4 - 2x - 4

Combine like terms:

0.4 + 4 = 0.4 - 2x

Simplifying, we get:

4.4 = -2x

Now, divide both sides of the equation by -2:

x = 4.4 / -2

Simplifying further, we get:

x = -2.2

So, the solution to the equation is x = -2.2.

9. 4x - 5.5 = 5x - 3(2x - 1.5)

Let's simplify the equation step by step:

4x - 5.5 = 5x - 6x + 4.5

Combine like terms:

4x - 5.5 = -x + 4.5

Let's move the terms with x to one side and the constant terms to the other side:

4x + x = 4.5 + 5.5

Simplifying, we get:

5x = 10

Now, solve for x by dividing both sides of the equation by 5:

x = 10 / 5

Simplifying further, we get:

x = 2

So, the solution to the equation is x = 2.

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