Question

1. 2,3х + 4,1х = 12,8 2. 8,1: х + 3,4 = 4,3 3. 10,2с – 0,5с = 29,1 4. 15х – х + 2х = 0,6 5. 0,2х + 1,7х + 1,1=4,9 6. 8,12 : (х – 0,06) = 4

Answer 1

Пошаговое объяснение:

1) 2,3х + 4,1х = 12,8

6,4х = 12,8

х=12,8 : 6,4

х=2

2) 8,1х + 3,4 = 4,3

8,1х = 4,3 - 3,4

8,1х = 0,9

х= 1/9(дробь)

3) 10,2с - 0,5с = 29,1

9,7с =29,1

с = 3

4) 15х - х + 2х = 0,6

16х = 0,6

х = 0,0375

5)  0,2х + 1,7х + 1,1=4,9

0,2х + 1,7х = 4,9 - 1,1

1,9х = 3,8

х=2

6)8,12 : (х – 0,06) = 4

4*(х – 0,06) = 8,12

4х - 0,24 = 8,12

4х = 0,24 + 8,12

4х = 8,36

х = 2,09

Answer 2

To solve these equations for the respective variables (x or c), you need to isolate the variable on one side of the equation. Here are the solutions for each equation:

1. 2.3x + 4.1x = 12.8 Combine like terms: 6.4x = 12.8 Divide both sides by 6.4: x = 12.8 / 6.4 x = 2

2. 8.1/x + 3.4 = 4.3 Subtract 3.4 from both sides: 8.1/x = 4.3 - 3.4 8.1/x = 0.9 Now, invert both sides (flip the equation): x/8.1 = 1/0.9 x/8.1 = 10/9 Multiply both sides by 8.1: x = (10/9) * 8.1 x ≈ 9

3. 10.2c - 0.5c = 29.1 Combine like terms: 9.7c = 29.1 Divide both sides by 9.7: c = 29.1 / 9.7 c ≈ 3

4. 15x - x + 2x = 0.6 Combine like terms: 16x = 0.6 Divide both sides by 16: x = 0.6 / 16 x = 0.0375

5. 0.2x + 1.7x + 1.1 = 4.9 Combine like terms: 1.9x + 1.1 = 4.9 Subtract 1.1 from both sides: 1.9x = 4.9 - 1.1 1.9x = 3.8 Divide both sides by 1.9: x = 3.8 / 1.9 x = 2

6. 8.12 / (x - 0.06) = 4 Multiply both sides by (x - 0.06): 8.12 = 4(x - 0.06) Divide both sides by 4: 2.03 = x - 0.06 Add 0.06 to both sides: x = 2.03 + 0.06 x = 2.09