Question

3 1/9(1 5/28x-0,3)=1,5-5/6(7-x) ​

Answer 1

Пошаговое объяснение:

3. 1/9(1. 5/28х - 0,3) = 1,5 - 5/6(7 - х)

28/9(33/28х - 3/10) = 15/10 - 5/6(7 - х)

1/3 * 11/1х - 14/3 * 1/5 = 3/2 - 35/6 + 5/6х

11/3х - 14/15 = 3/2 - 35/6 + 5/6х

11/3х - 5/6х = 3/2 - 35/6 + 14/15

22/6х - 5/6х = 45/30 - 175/30 + 28/30

17/6х = -102/30

х = -102/30 : 17/6

х = -102/30 * 6/17

х = -6/5 * 1/1

х = -6/5

х = -1. 1/5

Answer 2

To solve the equation:

3 1/9(1 5/28x - 0.3) = 1.5 - 5/6(7 - x)

First, let's simplify both sides of the equation step by step:

1. Start with the left side of the equation:

3 1/9(1 5/28x - 0.3)

To make it easier to work with mixed numbers, convert 3 1/9 to an improper fraction:

3 1/9 = (3 * 9 + 1)/9 = 28/9

Now, the equation becomes:

(28/9)(1 5/28x - 0.3)

2. Distribute (28/9) to both terms inside the parentheses:

(28/9) * (1 5/28x) - (28/9) * 0.3

Now, distribute:

(28/9)(1) + (28/9)(5/28x) - (28/9)(0.3)

28/9 + (5/1)x - (84/9)

3. Combine like terms:

28/9 - 84/9 + (5/1)x

Now, subtract 84/9 from 28/9:

-56/9 + (5/1)x

Now, let's simplify the right side of the equation:

1.5 - 5/6(7 - x)

2. Distribute -5/6 to both terms inside the parentheses:

1.5 - (5/6)(7) + (5/6)x

Now, multiply:

1.5 - (35/6) + (5/6)x

Now, the equation looks like this:

-56/9 + (5/1)x = 1.5 - (35/6) + (5/6)x

Now, let's isolate the x terms on one side of the equation:

Add (35/6) to both sides:

-56/9 + (5/1)x + 35/6 = 1.5

Now, we have:

(5/1)x - 56/9 + 35/6 = 1.5

To simplify further, find a common denominator for 9 and 6, which is 18:

(10/2)x - (112/18) + (105/18) = 1.5

Now, simplify the fractions:

5x - (112/18) + (105/18) = 1.5

Now, add (112/18) to both sides:

5x + (105/18) = 1.5 + (112/18)

5x + (105/18) = 7/2

Now, subtract (105/18) from both sides:

5x = 7/2 - (105/18)

To subtract these fractions, find a common denominator, which is 18:

5x = 63/18 - 105/18

Now, subtract:

5x = -42/18

Reduce the fraction:

5x = -7/3

Finally, divide by 5 to isolate x:

x = (-7/3) / 5

x = -7/15

So, the solution to the equation is:

x = -7/15