SOLUTION: whats the solution set of 9t/4-2=3t-1/2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: whats the solution set of 9t/4-2=3t-1/2      Log On


   

Question 307022: whats the solution set of 9t/4-2=3t-1/2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

9t%2F4-2=3t-1%2F2 Start with the given equation.


4%289t%2Fcross%284%29-2%29=4%283t-1%2Fcross%282%29%29 Multiply both sides by the LCD 4 to clear any fractions.


9t-8=12t-2 Distribute and multiply.


9t=12t-2%2B8 Add 8 to both sides.


9t-12t=-2%2B8 Subtract 12t from both sides.


-3t=-2%2B8 Combine like terms on the left side.


-3t=6 Combine like terms on the right side.


t=%286%29%2F%28-3%29 Divide both sides by -3 to isolate t.


t=-2 Reduce.


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

Answer:

So the solution is t=-2