Question

1)19x-0,18=19,01 2,27-2x=0,09 5,08+12x=29,74 2)3,2x+5,6+5,8x=17,21 3x+1,2x6,7x=109 6,7x+1,9x+3,3x=38,08

Answer 1

1)
19х-0,18=19,01
19х=19,01+0,18
19х=19,19
х=19,19÷19
х=1,01

2,27-2х=0,09
-2х=0,09-2,27
-2х= -2,18
х= -2,18÷(-2)
х=1,09

5,08+12х=29,74
12х=29,74-5,08
12х=24,66
х=24,66÷12
х=2,055

2)
3,2х+5,6+5,8х=17,21
3,2х+5,8х=17,21-5,6
9х=11,61
х=11,61÷9
х=1,29

3х+1,2х+6,7х=109
10,9х=109
х=109÷10,9
х=10

6,7х+1,9х+3,3х=38,08
11,9 х=38,08
х=38,08÷11,9
х=3,2

Answer 2

To solve each of these equations, we'll start by isolating the variable on one side of the equation. Then, we'll perform the necessary arithmetic operations to find the value of the variable.

1. 19x - 0.18 = 19.01

Step 1: Move the constant term (-0.18) to the right side by adding it to both sides. 19x = 19.01 + 0.18 19x = 19.19

Step 2: Isolate x by dividing both sides by 19. x = 19.19 / 19 x = 1.01

2. 2.27 - 2x = 0.09

Step 1: Move the constant term (2.27) to the right side by subtracting it from both sides. -2x = 0.09 - 2.27 -2x = -2.18

Step 2: Isolate x by dividing both sides by -2. x = -2.18 / -2 x = 1.09

3. 5.08 + 12x = 29.74

Step 1: Move the constant term (5.08) to the right side by subtracting it from both sides. 12x = 29.74 - 5.08 12x = 24.66

Step 2: Isolate x by dividing both sides by 12. x = 24.66 / 12 x = 2.055

4. 3.2x + 5.6 + 5.8x = 17.21

Step 1: Combine the x terms on the left side. 3.2x + 5.8x = 17.21 - 5.6 8x = 11.61

Step 2: Isolate x by dividing both sides by 8. x = 11.61 / 8 x = 1.45125 (rounded to 5 decimal places)

5. 3x + 1.2x + 6.7x = 109

Step 1: Combine the x terms on the left side. 3x + 1.2x + 6.7x = 109 10.9x = 109

Step 2: Isolate x by dividing both sides by 10.9. x = 109 / 10.9 x = 10

6. 6.7x + 1.9x + 3.3x = 38.08

Step 1: Combine the x terms on the left side. 6.7x + 1.9x + 3.3x = 38.08 12.9x = 38.08

Step 2: Isolate x by dividing both sides by 12.9. x = 38.08 / 12.9 x = 2.95496183206 (rounded to 11 decimal places)

Please note that some of the answers are rounded to a certain number of decimal places. Depending on the context of the problem, you may need to keep more decimal places or round to a different level of precision.