Question

9/11 x (x - 2 /3 ) равно 50 ​

Answer 1

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Answer 2

To solve the equation, let's break it down step by step.

The equation is: 9/11 * (x - 2/3) = 50.

First, let's simplify the expression inside the parentheses:

x - 2/3

To do this, we need a common denominator, which is 3:

3x/3 - 2/3 = (3x - 2) / 3

Now we can rewrite the equation:

9/11 * (3x - 2) / 3 = 50

Next, let's multiply both sides of the equation by 3 to eliminate the fraction:

(9/11) * (3x - 2) = 50 * 3

(9/11) * (3x - 2) = 150

Now we can remove the parentheses:

27x/11 - 18/11 = 150

To isolate the x term, we need to get rid of the fraction. We can do this by multiplying both sides of the equation by the reciprocal of 27/11, which is 11/27:

(11/27) * (27x/11 - 18/11) = (11/27) * 150

x - 18/27 = 550/27

Now, let's simplify the equation further:

x - 2/3 = 550/27

To eliminate the fraction, we can multiply both sides of the equation by 27:

27 * (x - 2/3) = 550

27x - 18 = 550

Next, let's isolate the x term by adding 18 to both sides:

27x = 550 + 18

27x = 568

Finally, divide both sides by 27 to solve for x:

x = 568/27

After simplifying the fraction, the solution is approximately:

x ≈ 21.037