Question

4/5 (1/2х - 1/2)= 5х - 11 9/10

Answer 1

Пошаговое объяснение:

смотри во вложении....

Answer 2

Ответ:

Пошаговое объяснение:

2 8/10

Answer 3

To solve the equation, let's start by simplifying the left-hand side of the equation:

4/5 * (1/2x - 1/2) = (4/5) * (1/2x) - (4/5) * (1/2)

Now, perform the multiplications:

= 2/5x - 2/5

Now the equation becomes:

2/5x - 2/5 = 5x - 11 9/10

Next, let's isolate the x term on one side of the equation. To do that, we need to get rid of the constant term (-2/5) on the left side. To achieve this, we will add 2/5 to both sides:

2/5x - 2/5 + 2/5 = 5x - 11 9/10 + 2/5

Simplify the equation:

2/5x = 5x - 11 9/10 + 2/5

Now, let's eliminate the fraction on the right side by converting the mixed fraction to an improper fraction:

11 9/10 = (10 * 11 + 9)/10 = (110 + 9)/10 = 119/10

So, the equation now becomes:

2/5x = 5x - 119/10 + 2/5

To get rid of the fraction on the right side, we'll multiply everything by 10:

10 * (2/5x) = 10 * (5x - 119/10) + 10 * (2/5)

Simplify the equation:

4x = 50x - 119 + 4

Next, let's move all the x terms to one side of the equation and the constant terms to the other side:

4x - 50x = -119 + 4

Combine like terms:

-46x = -115

Now, to solve for x, divide both sides by -46:

x = (-115) / (-46)

Simplify the fraction:

x = 115/46

Therefore, the solution to the equation is:

x = 115/46