Question

1 7/9x-1 1/9= 4 2/9(1-x)

Answer 1

Ответ:

Пошаговое объяснение:

1 7/9x-1 1/9= 4 2/9-4 2/9x

1 7/9x+4 2/9x=4 2/9+1 1/9

6x=5 1/3

x=5 1/3:6=16/3*1/6

x=16/18=8/9

Answer 2

To solve for x, we can start by simplifying both sides of the equation:

1 7/9x - 1 1/9 = 4 2/9(1-x)

To simplify the left side, we need to find a common denominator for 1 7/9 and 1 1/9. The least common multiple of 9 and 3 is 27, so we can rewrite both fractions with a denominator of 27:

1 7/9 = 9/9 + 1/9 + 7/9 = 1 + 3/27 + 21/27 = 1 24/27 1 1/9 = 9/9 + 1/9 = 1 + 3/27 = 1 3/27

Substituting these values into the equation, we get:

1 24/27x - 1 3/27 = 4 2/9 - 4 2/9x

Simplifying the right side, we can see that 4 2/9 - 4 2/9x = 4 2/9(1 - x). Substituting this into the equation, we get:

1 24/27x - 1 3/27 = 4 2/9(1 - x)

1 24/27x - 1 3/27 = 4 2/9 - 4 2/9x

Now we can simplify the equation further by combining the whole number and fractional parts:

27/27 x - 3/27 = 38/9 - 38/9 x

24/27 x + 38/9 x = 3/27 + 38/9

62/27 x = 353/27

x = 353/27 ÷ 62/27

x = 5.6935 (rounded to four decimal places)

Therefore, the solution for the equation is x = 5.6935.