Question

394. Розв'яжи рівняння: 1) (x + 4537) + 5297 = 11 342; 2) (x + 4792) - 539 = 6397; 3) (x - 8397) - 5372 = 1792; 4) 9797 +(5392 - x) = 10 397; 5) 5372 - (x + 4127) = 973; 6) 8374 - (5973 - x) = 4392. е​

Answer 1

Пошаговое объяснение:

 1) (x + 4537) + 5297 = 11 342

(11 342 - 5297) - 4537 = х

(11 342 - 5297) - 4537 = 1508

х = 1508

(1508 + 4537) + 5297 = 11 342

2) (x + 4792) - 539 = 6397

(6397 + 539) - 4792 = х

(6397 + 539) - 4792 = 4792

х = 4792

(4792 + 4792) - 539 = 6397

3) (x - 8397) - 5372 = 1792

(1792 + 5372) + 8397 = х

(1792 + 5372) + 8397 = 15561

х = 15561

(15561 - 8397) - 5372 = 1792

4) 9797 +(5392 - x) = 10 397

(10 397 - 9797) - 5392 = -х

(10 397 - 9797) - 5392 = -4792

х = -4792

9797 +(5392 - 4792) = 10 397

5) 5372 - (x + 4127) = 973

(973 - 5372) - 4127 = х

(973 - 5372) + 4127 = -272

х = -272

5372 - (272 + 4127) = 973

Answer 2

1) (x + 4537) + 5297 = 11342

First, let's simplify the equation by combining like terms:

x + 4537 + 5297 = 11342 x + 9834 = 11342

Next, let's isolate the variable x by subtracting 9834 from both sides:

x + 9834 - 9834 = 11342 - 9834 x = 1508

Therefore, the solution to the equation is x = 1508.

2) (x + 4792) - 539 = 6397

Again, let's simplify the equation by combining like terms:

x + 4792 - 539 = 6397 x + 4253 = 6397

Now, let's isolate the variable x by subtracting 4253 from both sides:

x + 4253 - 4253 = 6397 - 4253 x = 2144

So, the solution to the equation is x = 2144.

3) (x - 8397) - 5372 = 1792

Let's simplify this equation:

x - 8397 - 5372 = 1792 x - 13769 = 1792

Now, let's isolate the variable x by adding 13769 to both sides:

x - 13769 + 13769 = 1792 + 13769 x = 15561

Therefore, the solution to the equation is x = 15561.

4) 9797 + (5392 - x) = 10397

Let's simplify the equation:

9797 + 5392 - x = 10397 15189 - x = 10397

Now, let's isolate the variable x by subtracting 15189 from both sides:

15189 - x - 15189 = 10397 - 15189 -x = -4792

Next, let's multiply both sides by -1 to solve for x:

x = 4792

So, the solution to the equation is x = 4792.

5) 5372 - (x + 4127) = 973

Let's simplify the equation:

5372 - x - 4127 = 973 1245 - x = 973

Now, let's isolate the variable x by subtracting 1245 from both sides:

1245 - x - 1245 = 973 - 1245 -x = -272

Next, let's multiply both sides by -1 to solve for x:

x = 272

Therefore, the solution to the equation is x = 272.

6) 8374 - (5973 - x) = 4392

Let's simplify the equation:

8374 - 5973 + x = 4392 2401 + x = 4392

Now, let's isolate the variable x by subtracting 2401 from both sides:

2401 + x - 2401 = 4392 - 2401 x = 1991

So, the solution to the equation is x = 1991.

Таким чином, розв'язання рівнянь:

1) x = 1508 2) x = 2144 3) x = 15561 4) x = 4792 5) x = 272 6) x = 1991