Question

2х+6 1/9 = 3 8/11+9 3/11​

Answer 1

Ответ:

Пошаговое объяснение:

2х+6 1/9 = 3 8/11+9 3/11​

2х = 3 8/11+9 3/11​-6 1/9

2х=6 8/9

x=6 8/9:2=62/9*1/2

x=31/9=3 4/9

Answer 2

Ответ:

3 4/9

Пошаговое объяснение:

2x+6 1/9 = 3 8/11+9 3/11

2x = 3 8/11 + 9 3/11 - 6 1/9

2x =13 - 6 1/9

2x = 6 8/9

x = 6 8/9 : 2

x = 3 4/9

Ответ : x = 3 4/9

Answer 3

To solve the equation, we need to combine the terms on both sides and simplify the expression. Let's start by converting the mixed numbers into improper fractions:

2x + 6 1/9 = 3 8/11 + 9 3/11

Step 1: Convert mixed numbers to improper fractions: 6 1/9 = (6 * 9 + 1) / 9 = 55/9 3 8/11 = (3 * 11 + 8) / 11 = 41/11 9 3/11 = (9 * 11 + 3) / 11 = 102/11

Now the equation becomes:

2x + 55/9 = 41/11 + 102/11

Step 2: Find a common denominator for the fractions on the right side of the equation, which is 11:

2x + 55/9 = (41 + 102) / 11 2x + 55/9 = 143/11

Step 3: Convert 143/11 to a fraction with a denominator of 9:

(143/11) * (9/9) = 1287/99

Now the equation becomes:

2x + 55/9 = 1287/99

Step 4: To eliminate the fraction on the left side, we need to get a common denominator of 99:

(2x * 11/11) + 55/9 = 1287/99

Step 5: Combine the terms on the left side:

(22x + 55)/9 = 1287/99

Step 6: To isolate x, multiply both sides by 9:

9 * ((22x + 55)/9) = 9 * (1287/99)

22x + 55 = 143

Step 7: Now, subtract 55 from both sides to solve for x:

22x = 143 - 55 22x = 88

Step 8: Finally, divide both sides by 22 to get the value of x:

x = 88 / 22 x = 4

So, the solution to the equation is x = 4.