For what value or values of k,if any,are the expressions below equivalent? 3(4-9k) and 6(2-9k)
To find the values of k such that the expressions 3(4-9k) and 6(2-9k) are equivalent, we need to set the two expressions equal to each other and solve for k.
3(4-9k) = 6(2-9k)
12 - 27k = 12 - 54k
Simplifying both sides of the equation, we get:
-27k = -54k
Adding 54k to both sides:
27k = 0
Dividing both sides by 27:
k = 0
So, the expressions 3(4-9k) and 6(2-9k) are equivalent when k = 0.