SOLUTION: 2-3/4z=1/8z+9

Algebra ->  Equations -> SOLUTION: 2-3/4z=1/8z+9      Log On


   

Question 103774: 2-3/4z=1/8z+9
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2-%283%2F4%29z=%281%2F8%29z%2B9 Start with the given equation



%288%29%282-%283%2F4%29z%29=%288%29%28%281%2F8%29z%2B9%29 Multiply both sides by the LCM of 8. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)



16-6z=z%2B72 Distribute and multiply the LCM to each side



-6z=z%2B72-16Subtract 16 from both sides


-6z-z=72-16 Subtract z from both sides


-7z=72-16 Combine like terms on the left side


-7z=56 Combine like terms on the right side


z=%2856%29%2F%28-7%29 Divide both sides by -7 to isolate z



z=-8 Divide

--------------------------------------------------------------
Answer:
So our answer is z=-8