Question

2_3их-(7_9ых-а)=1_3их помогите решить пожалуйсто

Answer 1

Ответ:

Пошаговое объяснение:

2/3 - (7/9 - а) = 1/3

7/9 - а = 2/3 - 1/3

7/9 - а = 1/3

а = 7/9 - 1/3

а = 7/9 - 3/9

а = 4/9

Answer 2

To solve the equation 2/3x - (7/9x - a) = 1/3x, we can follow these steps:

Step 1: Simplify the equation by removing the parentheses. Step 2: Combine like terms on both sides of the equation. Step 3: Isolate the variable on one side of the equation. Step 4: Solve for the variable.

Let's go through each step in detail:

Step 1: Simplify the equation by removing the parentheses. To remove the parentheses, we need to distribute the negative sign (-) to both terms inside the parentheses. This means we will multiply -1 by each term inside the parentheses.

The equation becomes: 2/3x - 7/9x + a = 1/3x

Step 2: Combine like terms on both sides of the equation. On the left side of the equation, we have 2/3x - 7/9x. To combine these terms, we need to find a common denominator for 3 and 9, which is 9. Then we can rewrite the equation as:

(2/3 * 3/3)x - (7/9 * 1/1)x + a = 1/3x

This simplifies to: (6/9)x - (7/9)x + a = 1/3x

Now we can combine the x terms on the left side of the equation: (6/9 - 7/9)x + a = 1/3x

Simplifying further, we have: (-1/9)x + a = 1/3x

Step 3: Isolate the variable on one side of the equation. To isolate the variable x, we need to move all the terms containing x to one side of the equation. Let's move the terms with x to the left side and the constant term to the right side:

(-1/9)x - 1/3x = -a

To simplify, we can find a common denominator for 9 and 3, which is 9. This gives us:

(-1/9 - 3/9)x = -a

Combining the x terms, we have: (-4/9)x = -a

Step 4: Solve for the variable. To solve for x, we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of -4/9, which is -9/4.

((-4/9)x) * (-9/4) = (-a) * (-9/4)

Simplifying, we get: x = (9/4)a

Therefore, the solution to the equation 2/3x - (7/9x - a) = 1/3x is x = (9/4)a.

I hope this helps! Let me know if you have any further questions.