Question

Решите уравнение: 1. (x+45)-15=34 2. (х-56)-24=17 3. (х-27)+35=81 4. 478-(256+х)=427 5. 791-(х-298)=683 Спасибо)

Answer 1

1. (x+45)-15=34 :х+45=49; х=4
2.  (х-56)-24=17; х-56=41: х=97
4. 478-(256+х)=427; 478-256-х=427; 478-427-256=х; х = -205
5. 791-(х-298)=683; 791-х+298=683; 791+298-683=х; х=406

Answer 2

1.(х+45)-15=34
х+45-15=34
х=34-45+15
х=4
2.(х-56)-24=17
х-56-24=17
х=17+56+24
х=97
3.(х-27)+35=81
х-27+35=81
х=82+27-35
х=74
4.478-(256+х)=427
478-256-х=427
-х=427-478+256
х=205
5.791-(х-298)=683
791-х+298=683
-х=683-791-298
х=406

Answer 3

Solution to the Equations:

1. (x + 45) - 15 = 34

To solve this equation, we need to isolate the variable x. Let's simplify the equation step by step:

First, let's remove the parentheses by applying the distributive property:

x + 45 - 15 = 34

Next, let's combine like terms:

x + 30 = 34

Now, let's isolate x by subtracting 30 from both sides of the equation:

x = 34 - 30

x = 4

Therefore, the solution to the equation is x = 4.

2. (x - 56) - 24 = 17

Similarly, let's simplify this equation step by step:

First, let's remove the parentheses:

x - 56 - 24 = 17

Next, let's combine like terms:

x - 80 = 17

Now, let's isolate x by adding 80 to both sides of the equation:

x = 17 + 80

x = 97

Therefore, the solution to the equation is x = 97.

3. (x - 27) + 35 = 81

Let's simplify this equation:

First, let's remove the parentheses:

x - 27 + 35 = 81

Next, let's combine like terms:

x + 8 = 81

Now, let's isolate x by subtracting 8 from both sides of the equation:

x = 81 - 8

x = 73

Therefore, the solution to the equation is x = 73.

4. 478 - (256 + x) = 427

Let's simplify this equation:

First, let's remove the parentheses:

478 - 256 - x = 427

Next, let's combine like terms:

222 - x = 427

Now, let's isolate x by subtracting 222 from both sides of the equation:

-x = 427 - 222

-x = 205

To solve for x, we need to multiply both sides of the equation by -1 to change the sign:

x = -205

Therefore, the solution to the equation is x = -205.

5. 791 - (x - 298) = 683

Let's simplify this equation:

First, let's remove the parentheses:

791 - x + 298 = 683

Next, let's combine like terms:

1089 - x = 683

Now, let's isolate x by subtracting 1089 from both sides of the equation:

-x = 683 - 1089

-x = -406

To solve for x, we need to multiply both sides of the equation by -1 to change the sign:

x = 406

Therefore, the solution to the equation is x = 406.

I hope this helps! Let me know if you have any further questions.