Question

5/6 * ( 1/2х -- 2/3 ) = 3х -- 2 1/4

Answer 1

Ответ: хмм, ответ х=169/93

Пошаговое объяснение:

На картинках, ниже✨

Answer 2

To solve the equation, let's simplify the left-hand side step by step:

1. Distribute the 5/6 to the terms inside the parentheses: 5/6 * (1/2x - 2/3) = 5/6 * (1/2x) - 5/6 * (2/3)

2. Simplify the fractions: 5/6 * (1/2x) = (5/6) * (1/2) * x = (5/12) * x 5/6 * (2/3) = (5/6) * (2/3) = 5/9

Now, the equation becomes: (5/12) * x - 5/9 = 3x - 2 1/4

Next, let's get rid of the fraction on the right side of the equation. 2 1/4 can be written as an improper fraction:

2 1/4 = 9/4

The equation now becomes: (5/12) * x - 5/9 = 3x - 9/4

Now, let's get rid of the fractions by finding a common denominator, which is 36 (the least common multiple of 12 and 9):

Multiply the whole equation by 36 to eliminate the denominators:

36 * [(5/12) * x] - 36 * (5/9) = 36 * (3x) - 36 * (9/4)

Simplify:

15x - 20 = 108x - 81

Now, let's isolate the term with x on one side of the equation. Move 15x to the right side by subtracting 15x from both sides, and move the constant term to the left side:

108x - 15x = 81 - 20

Combine like terms:

93x = 61

Finally, isolate x by dividing both sides by 93:

x = 61 / 93

We can simplify this fraction by finding the greatest common divisor (GCD) of 61 and 93, which is 1:

x = 61 / 93 (no common factors other than 1)

So, the value of x is approximately 0.6559.