Answer:
k = -1
Explanation:
-11/2 = -2 1/3 + 3 1/6k
Step 1.
Change the mixed numerals into fractions.
-11/2 = -7/3 + 19/6 k
Step 2. The LCD is 6. Multiply both sides by 6 to get rid of all denominators.
-11/2 × 6 = -7/3 × 6 + 6 × 19/6 k
-33 = -14 + 19k
Add 14 to both sides.
-19 = 19k
Divide both sides by 19.
-19/19 = 19k/19
-1 = k
Switch sides.
k = -1