Question

12 * (1 3/4х + 5/8) = 8 1/2 Решите уравнение Заранее спасибо

Answer 1

12 * (1 3/4х + 5/8) = 8 1/2
1 3/4x + 5/8 =8 1/2 : 12
1 3/4x + 5/8 = 17/2 * 1/12
1 3/4x + 5/8 = 17/24
1 3/4x = 17/24 - 5/8
1 3/4x = 17/24 - 15/24
1 3/4x = 1/12
x = 1/12 : 1 3/4
x = 1/12 * 4/7
x = 1/21

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12 * (1 3/4х + 5/8) = 8 1/2
12 *(7/4x + 5/8) = 17/2     
21x+ 15/2 =17/2
21x = 17/2 - 15/2
21x = 1
x=1:21
x=1/21

Answer 2

Переводим правильную дробь в неправильную,делим 8 1/2на 12, получаем:
7/4х= 17/24-5/8  (общий знаменатель 24)  ;      42х=17-15;
42х=2
х=1/21

Answer 3

Solving the Equation

To solve the equation 12 * (1 + 3/4x + 5/8) = 8 1/2, we can follow these steps:

1. Distribute the 12 2. Combine Like Terms 3. Isolate the Variable 4. Solve for x

Let's go through each step.

Step 1: Distribute the 12

To start solving the equation, we first need to distribute the 12 across the terms inside the parentheses.

The equation becomes: 12 * 1 + 12 * 3/4x + 12 * 5/8 = 8 1/2

Step 2: Combine Like Terms

Now, we can simplify the equation by combining like terms.

The equation becomes: 12 + 9x + 7.5 = 8 1/2

Step 3: Isolate the Variable

Next, we isolate the variable term by subtracting 12 and 7.5 from both sides of the equation.

The equation becomes: 9x = 8 1/2 - 12 - 7.5

Step 4: Solve for x

Now, we can solve for x by performing the operations on the right-hand side of the equation.

9x = 8 1/2 - 12 - 7.5 9x = -11.5

Finally, we solve for x by dividing both sides by 9.

x = -11.5 / 9 x = -1.27777777778

So, the solution to the equation 12 * (1 + 3/4x + 5/8) = 8 1/2 is x = -1.27777777778.