Question

Розв‘яжи рівняння: 1) (3,9+x)-2,5=5,7, 2)14,2-(6,7+х)=5,9, 3) (y-8,42)+3,14=5,9, 4)4,42+(y-1,17)=5,47

Answer 1

Ответ:1.(3,9+x) - 2,5 = 5,7

Перенесем 2,5 на правую сторону уравнения:

(3,9+x) = 5,7 + 2,5

(3,9+x) = 8,2

Вычтем 3,9 из обеих сторон уравнения:

(3,9+x) - 3,9 = 8,2 - 3,9

x = 4,3

Ответ: x = 4,3

2.14,2 - (6,7+x) = 5,9

Раскроем скобки:

14,2 - 6,7 - x = 5,9

Вычтем 7,5 из обеих сторон уравнения:

14,2 - 6,7 - 7,5 - x = 5,9 - 7,5

x = -4,2

Ответ: x = -4,2

3.(y - 8,42) + 3,14 = 5,9

Перенесем 3,14 на левую сторону уравнения:

y - 8,42 = 5,9 - 3,14

y - 8,42 = 2,76

Прибавим 8,42 к обеим сторонам уравнения:

y = 2,76 + 8,42

y = 11,18

Ответ: y = 11,18

4.4,42 + (y - 1,17) = 5,47

Раскроем скобки:

4,42 + y - 1,17 = 5,47

Прибавим 1,17 к обеим сторонам уравнения:

4,42 + y = 6,64

Вычтем 4,42 из обеих сторон уравнения:

y = 2,22

Ответ: y = 2,22

Пошаговое объяснение:

Answer 2

1. (3.9 + x) - 2.5 = 5.7

To solve this equation, let's simplify it step by step:

First, let's subtract 2.5 from both sides:

(3.9 + x) - 2.5 - 2.5 = 5.7 - 2.5

Simplifying the left side gives:

3.9 + x - 2.5 - 2.5 = 5.7 - 2.5

Combine like terms:

3.9 - 2.5 - 2.5 + x = 5.7 - 2.5

Now simplify:

1.4 + x = 3.2

Next, let's isolate x by subtracting 1.4 from both sides:

1.4 + x - 1.4 = 3.2 - 1.4

Simplifying the left side gives:

x = 3.2 - 1.4

Now subtract:

x = 1.8

Therefore, the solution to the equation is x = 1.8.

2. 14.2 - (6.7 + x) = 5.9

Let's solve this equation step by step:

First, let's simplify the expression inside the parentheses:

14.2 - 6.7 - x = 5.9

Combine like terms:

7.5 - x = 5.9

Next, let's isolate x by subtracting 7.5 from both sides:

7.5 - x - 7.5 = 5.9 - 7.5

Simplifying the left side gives:

-x = -1.6

To solve for x, we can multiply both sides by -1 (which changes the sign):

x = 1.6

Therefore, the solution to the equation is x = 1.6.

3. (y - 8.42) + 3.14 = 5.9

To solve this equation, let's simplify it step by step:

First, let's combine like terms on the left side:

y - 8.42 + 3.14 = 5.9

Combine like terms:

y - 5.28 = 5.9

Next, let's isolate y by adding 5.28 to both sides:

y - 5.28 + 5.28 = 5.9 + 5.28

Simplifying the left side gives:

y = 11.18

Therefore, the solution to the equation is y = 11.18.

4. 4.42 + (y - 1.17) = 5.47

Let's solve this equation step by step:

First, let's simplify the expression inside the parentheses:

4.42 + y - 1.17 = 5.47

Combine like terms:

3.25 + y = 5.47

Next, let's isolate y by subtracting 3.25 from both sides:

3.25 + y - 3.25 = 5.47 - 3.25

Simplifying the left side gives:

y = 2.22

Therefore, the solution to the equation is y = 2.22.