SOLUTION: 3 7 5t+-=3t-- 4 8

Algebra ->  Proportions -> SOLUTION: 3 7 5t+-=3t-- 4 8      Log On


   

Question 199279: 3 7
5t+-=3t--
4 8
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5t%2B3%2F4=3t-7%2F8 Start with the given equation.


Multiply both sides by the LCD 8 to clear any fractions.


40t%2B6=24t-7 Distribute and multiply.


40t=24t-7-6 Subtract 6 from both sides.


40t-24t=-7-6 Subtract 24t from both sides.


16t=-7-6 Combine like terms on the left side.


16t=-13 Combine like terms on the right side.


t=%28-13%29%2F%2816%29 Divide both sides by 16 to isolate t.


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

Answer:

So the solution is t=-13%2F16 which in decimal form is t=-0.8125.