If 6k is a solution of the equation 3xy + 22 = 0, then what is the value of k?

To find the value of k when 6k is a solution to the equation 3xy + 22 = 0, we start by substituting 6k for xy in the equation.

Substituting, we get:

3(6k) + 22 = 0

This simplifies to:

18k + 22 = 0

Next, we isolate k.

Subtract 22 from both sides:

18k = -22

Now, divide both sides by 18:

k = -22 / 18

This further simplifies to:

k = -11 / 9

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