SOLUTION: t/2-(t-2/3)= 3/2

Algebra ->  Equations -> SOLUTION: t/2-(t-2/3)= 3/2      Log On


   

Question 204391: t/2-(t-2/3)= 3/2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
t%2F2-%28t-2%2F3%29=3%2F2 Start with given equation.


t%2F2-t%2B2%2F3=3%2F2 Distribute


3t-6t%2B4=9 Multiply EVERY term by the LCD 6 to clear out the fractions.


4-3t=9 Combine like terms on the left side.


-3t=9-4 Subtract 4 from both sides.


-3t=5 Combine like terms on the right side.


t=%285%29%2F%28-3%29 Divide both sides by -3 to isolate t.


t=-5%2F3 Reduce.


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

Answer:

So the answer is t=-5%2F3 which approximates to t=-1.667.