What is the value of k if 6k is a solution to the equation 3xy + 22 = 0?

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To find the value of k given that 6k is a solution of the equation 3xy + 22 = 0, we first need to interpret what it means for 6k to be a solution.

Let’s assume that xy is replaced by 6k in the original equation. This leads to:

3(6k) + 22 = 0

Now, let’s simplify the equation:

  1. First, multiply 3 by 6k:
  2. 18k + 22 = 0

Next, we will rearrange the equation to isolate k:

  1. Subtract 22 from both sides:
  2. 18k = -22
  3. Now, divide both sides by 18:
  4. k = -22 / 18
  5. We can simplify this fraction:
  6. k = -11 / 9

Thus, the value of k is -11/9.

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