Final ![k = -9](/tpl/images/1009/3571/105b6.png)
Steps/Reasons/Explanation:
Question: Solve the equation
. Please select the best answer from the choices provided.
![a.](/tpl/images/1009/3571/43e56.png)
![2\frac{1}{4}](/tpl/images/1009/3571/fb780.png)
![b.](/tpl/images/1009/3571/c62da.png)
![-9](/tpl/images/1009/3571/899c4.png)
![c.](/tpl/images/1009/3571/3da8f.png)
![9](/tpl/images/1009/3571/c8b73.png)
![d.](/tpl/images/1009/3571/3bcee.png)
![-21](/tpl/images/1009/3571/e5be0.png)
Step 1: Simplify
to
.
![\frac{k}{2} + 2 = 5 + \frac{5}{6}k](/tpl/images/1009/3571/f108b.png)
Step 2: Simplify
to
.
![\frac{k}{2} + 2 = 5 + \frac{5k}{6}](/tpl/images/1009/3571/66161.png)
Step 3: Multiply both sides by
(the LCM of
).
![3k + 12 = 30 + 5k](/tpl/images/1009/3571/d771a.png)
Step 4: Subtract
from both sides.
![12 = 30 + 5k - 3k](/tpl/images/1009/3571/a0fdc.png)
Step 5: Simplify
to
.
![12 = 30 + 2k](/tpl/images/1009/3571/4f1a4.png)
Step 6: Subtract
from both sides.
![12 - 30 = 2k](/tpl/images/1009/3571/d4653.png)
Step 7: Simplify
to
.
![-18 = 2k](/tpl/images/1009/3571/35c94.png)
Step 8: Divide both sides by
.
![-\frac{18}{2} = k](/tpl/images/1009/3571/c8a3f.png)
Step 9: Simplify
to
.
![-9 = k](/tpl/images/1009/3571/c3464.png)
Step 10: Switch sides.
![k = -9](/tpl/images/1009/3571/105b6.png)
~I hope I helped you :)~