Question

2х-1/х+1=1/4 решите пример пж

Answer 1

Решение во вложении.

Answer 2

Ответ:

х = 5/7

Пошаговое объяснение:

(2х - 1)/(х + 1) = 1/4

4(2х - 1) = 1(х + 1)

8х - 4 = х + 1

8х - х = 4 + 1

7х = 5

х = 5/7

Проверим:

(2*5/7 - 1)/(5/7 + 1) = 1/4

(10/7 - 1)/(5/7 + 1) = 1/4

3/7 : 1 5/7 = 1/4

3/7 * 7/12 = 1/4

21/84 = 1/4

1/4 = 1/4

Answer 3

To solve the equation (2x - 1) / (x + 1) = 1/4, we need to find the value of x that makes the equation true. To do that, let's follow these steps:

Step 1: Clear the fractions by multiplying both sides of the equation by 4(x + 1) to eliminate the denominators.

4(x + 1) * [(2x - 1) / (x + 1)] = 4(x + 1) * (1/4)

Step 2: Cancel out common factors on both sides.

4(x + 1) and (x + 1) are common factors on the left-hand side that cancel out, and 4 on the right-hand side cancels with 1/4:

2x - 1 = 1

Step 3: Now, isolate x on one side of the equation by performing algebraic operations.

Add 1 to both sides to isolate the x term:

2x = 1 + 1 2x = 2

Step 4: Finally, solve for x by dividing both sides by 2:

x = 2 / 2 x = 1

The solution to the equation is x = 1.