Question

1009. Розв'яжіть рівняння: 1) 8 (x – 1,4) = 0,56; 2) (4,6 – x). 19 = 4,18; 3) (x – 7,3): 3,2 = 12,16; 4) (51,32 + x) 0,12 = 72; 5) 17,28 :(56 - x) = 36; 6) x: 4,28 + 16,47 = 19,97.

Answer 1

Ответ:

1)8x-11,2=0,56

8x=0,56+11,2

8x=11,76

x=1,47

2)4,6-x=4,18:1,9

4,6-x=2,2

-x=2,2-4,6

-x=-2,4

x=2,4

3)x-7,3=12,16*3,2

x-7,3=38,912

x=38,912+7,3

x=46,212

4)51,32+x=72:0,12

51,32+x=600

x=600-51,32

x=548,68

5)56-x=36-17,28

56-x=18,72

-x=18,72-56

-x=-37,28

x=37,28

6)x:4,28=19,97-16,47

x:4,28=3,5

x=3,5*4,28

x=14,98

Answer 2

I can help you solve equations in Ukrainian. Here are the steps and solutions for each equation:

1) 8+(x–1,4)=0,56 - Subtract 8 from both sides: x–1,4=0,56–8 - Simplify: x–1,4=–7,44 - Add 1,4 to both sides: x=–7,44+1,4 - Simplify: x=–6,04 - The solution is x=–6,04

2) (4,6–x). 19=4,18 - Divide both sides by 19: 4,6–x=4,18/19 - Simplify: 4,6–x=0,22 - Subtract 4,6 from both sides: –x=0,22–4,6 - Simplify: –x=–4,38 - Multiply both sides by –1: x=4,38 - The solution is x=4,38

3) (x–7,3): 3,2=12,16 - Multiply both sides by 3,2: x–7,3=12,16. 3,2 - Simplify: x–7,3=38,912 - Add 7,3 to both sides: x=38,912+7,3 - Simplify: x=46,212 - The solution is x=46,212

4) (51,32 + x). 0,12=72 - Divide both sides by 0,12: 51,32 + x=72/0,12 - Simplify: 51,32 + x=600 - Subtract 51,32 from both sides: x=600–51,32 - Simplify: x=548,68 - The solution is x=548,68

5) 17,28 : (56 - x)=36 - Multiply both sides by 56 - x: 17,28=36. (56 - x) - Expand: 17,28=2016–36x - Subtract 2016 from both sides: –1998,72=–36x - Divide both sides by –36: x=–1998,72/–36 - Simplify: x=55,52 - The solution is x=55,52

6) x : 4,28 + 16,47=19,97 - Subtract 16,47 from both sides: x : 4,28=19,97–16,47 - Simplify: x : 4,28=3,5 - Multiply both sides by 4,28: x=3,5. 4,28 - Simplify: x=14,98 - The solution is x=14,98

If you need more help with solving equations, you can check out some online resources such as [Symbolab](https://www.symbolab.com/solver/equation-calculator), [Mathway](https://www.mathway.com/Calculator/equation-solver), or [QuickMath](https://quickmath.com/). You can also watch a video tutorial on how to solve a nice algebra problem from Ukrainian Math Olympiad [here](https://www.youtube.com/watch?v=4ff6sSkeLhI).