SOLUTION: Hello, I am having some problem trying to solve this math problem... -1/6=1/3*(b-4) Thanks for the help...

Algebra ->  Graphs -> SOLUTION: Hello, I am having some problem trying to solve this math problem... -1/6=1/3*(b-4) Thanks for the help...      Log On


   

Question 115239: Hello,
I am having some problem trying to solve this math problem...
-1/6=1/3*(b-4)
Thanks for the help...
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

-1%2F6=%281%2F3%29%28b-4%29 Start with the given equation



%286%29%28-1%2F6%29=%286%29%28%281%2F3%29%28b-4%29%29 Multiply both sides by the LCM of 6. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



-1=2%28b-4%29 Distribute and multiply the LCM to each side



-1=2b-8 Distribute


0=2b-8%2B1Add 1 to both sides


-2b=-8%2B1 Subtract 2b from both sides


-2b=-7 Combine like terms on the right side


b=%28-7%29%2F%28-2%29 Divide both sides by -2 to isolate b



b=7%2F2 Reduce

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Answer:
So our answer is b=7%2F2 (which is approximately b=3.5 in decimal form)