Question

Problem:
What is the value of k if -2/3(k − 6) = 3/2(k+ 6)?

Answer 1

k = -30/13

Explanation:

We can solve for k using the following steps:

Step 1: Distribute 3/2 and -2/3:

(3/2 * K) + (3/2 * 6) = (-2/3 * k) + (-2/3 * -6)

3/2k + 18/2 = -2/3k + 12/3

3/2k + 9 = -2/3k + 4

Step 2: Subtract 4 from both sides:

(3/2k + 9 = -2/3k + 4) - 4

3/2k + 5 = -2/3k

Step 3: Subtract 3/2k from both sides:

(3/2k + 5 = -2/3k) - 3/2

5 = -13/6k

Step 4: Divide both sides by -13/6. Then, multiply both sides by the reciprocal (-6/13) to solve for k:

(5 = -13/6k) / (-13/6)

(5 = -13/6k) * (-6/13)

-30/13 = k

Therefore, the value of k is -30/13.