Question

Решите уравнения: 1) 2х+9,8=13,6; 2) 10,36-3х=5,86; 3) 4,2х-6=3,66; 4) 19,5-0,3х=15,9; 5) (7-0,2х)*1,4=7,56; 6) (6,1х-13,2):1,7=3.

Answer 1

1)
2х + 9,8 = 13,6
2х = 13,6 - 9,8
2х = 3,8
х = 3,8 : 2
х = 1,9
----------------------------
2 * 1,9 + 9,8 = 13,6
      3,8 + 9,8 =13,6
             13,6 = 13,6
2)
10,36 - 3х = 5,86
- 3х = 5,86 - 10,36
- 3х = - 4,5
х = - 4,5 : (- 3)
х = 1,5
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10,36 - 3 * 1,5 = 5,86
     10,36 - 4,5 = 5,86
                5,86 = 5,86
3)
4,2х - 6 = 3,66
4,2х = 3,66 + 6
4,2х = 9,66
х = 9,66 : 4,2
х = 2,3
--------------------------
4,2 * 2,3 - 6 = 3,66
       9,66 - 6 = 3,66
            3,66 = 3,66
4)
19,5 - 0,3х = 15,9
- 0,3х = 15,9 - 19,5
- 0,3х = - 3,6
х = - 3,6 : (- 0,3)
х = 12
--------------------------------
19,5 - 0,3 * 12 = 15,9
        19,5 - 3,6 = 15,9
                15,9 = 15,9
5)
(7 - 0,2х) * 1,4 = 7,56
7 - 0,2х = 7,56 : 1,4
7 - 0,2х = 5,4
- 0,2х = 5,4 - 7
- 0,2х = - 1,6
х = - 1,6 : (- 0.2)
х = 8
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(7 - 0,2 * 8) * 1,4 = 7,56
      (7 - 1,6) * 1,4 = 7,56
              5,4 * 1,4 = 7,56
                     7,56 = 7,56
6)
(6,1х - 13,2) : 1,7 = 3
6,1х - 13,2 = 3 * 1,7
6,1х - 13,2 = 5,1
6,1х = 5,1 + 13,2
6,1х = 18,3
х = 18,3 : 6,1
х = 3
------------------------------------
(6,1 * 3 - 13,2) : 1,7 = 3
   (18,3 - 13,2) : 1,7 = 3
                  5,1 : 1,7 = 3
                             3 = 3

Answer 2

Решение уравнений:

1) 2x + 9.8 = 13.6

To solve for x, we can start by isolating the variable on one side of the equation:

Subtract 9.8 from both sides: 2x = 13.6 - 9.8 2x = 3.8

Divide by 2: x = 3.8 / 2 x = 1.9

So the solution to the first equation is x = 1.9.

2) 10.36 - 3x = 5.86

To solve for x, we can follow these steps:

Subtract 10.36 from both sides: -3x = 5.86 - 10.36 -3x = -4.5

Divide by -3: x = -4.5 / -3 x = 1.5

The solution to the second equation is x = 1.5.

3) 4.2x - 6 = 3.66

To solve for x, we can proceed as follows:

Add 6 to both sides: 4.2x = 3.66 + 6 4.2x = 9.66

Divide by 4.2: x = 9.66 / 4.2 x = 2.3

The solution to the third equation is x = 2.3.

4) 19.5 - 0.3x = 15.9

To solve for x, we can use the following steps:

Subtract 19.5 from both sides: -0.3x = 15.9 - 19.5 -0.3x = -3.6

Divide by -0.3: x = -3.6 / -0.3 x = 12

So the solution to the fourth equation is x = 12.

5) (7 - 0.2x) * 1.4 = 7.56

To solve for x, we can follow these steps:

Divide by 1.4: 7 - 0.2x = 7.56 / 1.4 7 - 0.2x = 5.4

Subtract 7 from both sides: -0.2x = 5.4 - 7 -0.2x = -1.6

Divide by -0.2: x = -1.6 / -0.2 x = 8

The solution to the fifth equation is x = 8.

6) (6.1x - 13.2) / 1.7 = 3

To solve for x, we can proceed as follows:

Multiply by 1.7: 6.1x - 13.2 = 3 * 1.7 6.1x - 13.2 = 5.1

Add 13.2 to both sides: 6.1x = 5.1 + 13.2 6.1x = 18.3

Divide by 6.1: x = 18.3 / 6.1 x = 3

The solution to the sixth equation is x = 3.

Therefore, the solutions to the given equations are: 1) x = 1.9 2) x = 1.5 3) x = 2.3 4) x = 12 5) x = 8 6) x = 3