Question

Solve for k. (k+6)/(3)=(k+4)/(2) There may be 1 or 2 solutions. k= or k

Answer 1

To solve for k in the equation:

(k + 6)/3 = (k + 4)/2

First, we can cross multiply to eliminate the fractions:

2(k + 6) = 3(k + 4)

Expanding the terms:

2k + 12 = 3k + 12

Now, let's isolate the k term on one side of the equation:

2k - 3k = 12 - 12

-k = 0

Finally, we divide both sides by -1 to solve for k:

k = 0

Therefore, the solution to the equation is k = 0.