Question

1/2(4-3 1/2х)=1 1/4х-0,5Решение и ответ ​

Answer 1

Ответ:

5/6

Пошаговое объяснение:

1/2(4 - 3. 1/2х) = 1. 1/4х - 0,5

1/2(4 - 7/2х) = 5/4х - 1/2

4/2 - 7/4х = 5/4х - 1/2

-7/4х - 5/4х = -1/2 - 4/2

-12/4х = - 5/2

-3х = -5/2

х = -5/2 : (-3)

х = -5/2 * (-1/3)

х = 5/6

Answer 2

To solve the equation 1/2(4 - 3 1/2x) = 1 1/4x - 0.5, we can follow these steps:

Step 1: Simplify the equation by performing the operations within the parentheses. 4 - 3 1/2x = 1 1/4x - 0.5

Step 2: Convert the mixed fractions into improper fractions. 3 1/2 = (2 * 3 + 1)/2 = 7/2 1 1/4 = (4 * 1 + 1)/4 = 5/4

The equation now becomes: 4 - (7/2)x/2 = (5/4)x - 0.5

Step 3: Distribute the 1/2 to the terms inside the parentheses. 4 - (7/4)x = (5/4)x - 0.5

Step 4: Move the variable terms to one side of the equation and the constant terms to the other side. (7/4)x + (5/4)x = 4 + 0.5

Combining like terms: (12/4)x = 4.5

Step 5: Simplify the left side of the equation. (3/1)x = 4.5

Step 6: Divide both sides of the equation by 3 to solve for x. x = 4.5/3

Simplifying the right side: x = 1.5

Therefore, the solution to the equation is x = 1.5.