Question

2(1 1/7-x)-3 1/14=-2 5/7​

Answer 1

Ответ:

2 1/7-2х-3 1/14=-2 5/7

-2х=-2 1/7+3 1/14-2 5/7

-2х=-1 11/14

х+-1 11/14:(-2)

х=25/28  

Пошаговое объяснение:

Answer 2

Let's solve the equation step by step:

Given equation: 2(1 1/7 - x) - 3 1/14 = -2 5/7

First, let's convert the mixed numbers into improper fractions: 1 1/7 = (7 * 1 + 1) / 7 = 8/7 3 1/14 = (14 * 3 + 1) / 14 = 43/14 2 5/7 = (7 * 2 + 5) / 7 = 19/7

Now the equation becomes: 2(8/7 - x) - 43/14 = -19/7

Distribute 2 on the left side of the equation: (16/7 - 2x) - 43/14 = -19/7

Now, let's find a common denominator for the fractions on the left side, which is 14:

2 * (16/7) = 32/7 -43/14 remains as it is.

Now the equation becomes: (32/7 - 2x) - 43/14 = -19/7

Combine the fractions with the same denominator on the left side:

(32/7 - 43/14) - 2x = -19/7

Now subtract the fractions in the parentheses:

(64/14 - 43/14) - 2x = -19/7 21/14 - 2x = -19/7

Simplify the left side:

3/2 - 2x = -19/7

Now, let's isolate the variable term by adding 2x to both sides:

3/2 = -19/7 + 2x

Next, let's add 19/7 to both sides:

3/2 + 19/7 = 2x

Now, find a common denominator (14):

(21/14) + (38/14) = 2x 59/14 = 2x

Finally, divide both sides by 2:

x = 59/28

So, the solution to the equation is: x = 59/28