SOLUTION: 9(k-4)+2k=2(k-1)+7k

Algebra ->  Equations -> SOLUTION: 9(k-4)+2k=2(k-1)+7k      Log On


   

Question 382811: 9(k-4)+2k=2(k-1)+7k
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
9%28k-4%29%2B2k=2%28k-1%29%2B7k Start with the given equation.


9k-36%2B2k=2k-2%2B7k Distribute.


11k-36=2k-2%2B7k Combine like terms on the left side.


11k-36=9k-2 Combine like terms on the right side.


11k=9k-2%2B36 Add 36 to both sides.


11k-9k=-2%2B36 Subtract 9k from both sides.


2k=-2%2B36 Combine like terms on the left side.


2k=34 Combine like terms on the right side.


k=%2834%29%2F%282%29 Divide both sides by 2 to isolate k.


k=17 Reduce.


----------------------------------------------------------------------

Answer:

So the solution is k=17


If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim