Question

-(3k-2/3)+(5/6+2k)=17/18​

Answer 1

Ответ:

(3 * k - 2 : 3) + (5 : 6 + 2 * k) = 17 : 18;

-3 * k + 2/3 + 5/6 + 2 * k = 17/18;

2/3 + 5/6 - 17/18 = 3 * k - 2 * k;

6 * 2/18 + 3 * 5/18 - 17/18 = (3 - 2) * k;

12/18 + 15/18 - 17/18 = k;

k = (12 + 15 - 17)/18 = (27 - 17)/18 = 10/18 = 5/9;

Ответ: k = 5/9.

Пошаговое объяснение:

Answer 2

Ответ:

k = 5/9

Пошаговое объяснение:

- 3k + 2/3 + 5/6 + 2k = 17/18

-k + 3/2 = 17/18

-k = - 5/9

k = 5/9

Answer 3

Let's solve the equation step by step:

-(3k - 2/3) + (5/6 + 2k) = 17/18

First, let's simplify the equation by distributing the negative sign and adding the fractions:

-3k + 2/3 + 5/6 + 2k = 17/18

Now, let's combine the "k" terms:

(2k - 3k) + 2/3 + 5/6 = 17/18

Simplifying the "k" terms:

-1k + 2/3 + 5/6 = 17/18

Next, we need to find a common denominator for the fractions (which is 6):

(-6k + 4 + 5) / 6 = 17/18

Combine the constants:

(-6k + 9) / 6 = 17/18

To eliminate the fraction, we can multiply both sides by 6:

-6k + 9 = (17/18) * 6

Simplify the right side:

-6k + 9 = 17/3

Now, isolate the "k" term by subtracting 9 from both sides:

-6k = 17/3 - 9

Find the common denominator for 17/3 and 9:

-6k = (17 - 27) / 3

-6k = -10 / 3

Finally, divide by -6 to solve for "k":

k = (-10 / 3) / -6

k = (10 / 3) / 6

k = 10 / (3 * 6)

k = 10 / 18

Now, simplify the fraction if possible:

k = 5 / 9

So, the solution to the equation is k = 5/9.