Question

3*(3 3/5-х)+3 1/5=4 1/3​

Answer 1

Ответ:

Пошаговое объяснение:

3 * (3 3/5 - х) = 4 1/3 - 3 1/5

3 * ( 3 3/5 - х) = 4 5/15 - 3 3/15

3 * ( 3 3/5 - х) = 1 2/15

3 3/5 - х = 1 2/15 : 3

3 3/5 - х = 17/15 * 1/3

3 3/5 - х = 17/45

х = 3 3/5 - 17/45

х = 3 27/45 - 17/45

х = 3 10/45

х = 3 2/9

Answer 2

Let's solve the equation step by step:

3 * (3 3/5 - x) + 3 1/5 = 4 1/3

First, we need to deal with the mixed numbers (also known as mixed fractions) on both sides of the equation. We'll convert them into improper fractions to simplify the equation.

3 3/5 = (5 * 3 + 3) / 5 = 18/5 3 1/5 = (5 * 3 + 1) / 5 = 16/5 4 1/3 = (3 * 4 + 1) / 3 = 13/3

Now, the equation becomes:

3 * (18/5 - x) + 16/5 = 13/3

Next, we can distribute the 3 on the left side of the equation:

(3 * 18/5) - (3 * x) + 16/5 = 13/3

Now, let's simplify the fractions:

(54/5) - (3x) + (16/5) = 13/3

To get rid of the fractions, we can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 15:

15 * [(54/5) - (3x) + (16/5)] = 15 * (13/3)

Now, simplify each term:

(15 * 54/5) - (15 * 3x) + (15 * 16/5) = (15 * 13/3)

(3 * 54) - (45x) + (3 * 16) = (5 * 13)

162 - 45x + 48 = 65

Now, continue to solve for x:

162 - 45x + 48 - 48 = 65 - 48

114 - 45x = 17

To isolate the term with x, subtract 114 from both sides:

114 - 45x - 114 = 17 - 114

-45x = -97

Now, divide both sides by -45 to solve for x:

(-45x) / (-45) = (-97) / (-45)

x = 97/45

So, the solution to the equation is:

x = 97/45 or approximately x ≈ 2.1556