SOLUTION: Could you help me solve a/4 - a/3 = -1/2

Algebra ->  Linear-equations -> SOLUTION: Could you help me solve a/4 - a/3 = -1/2      Log On


   



Question 779033: Could you help me solve a/4 - a/3 = -1/2
Found 2 solutions by jim_thompson5910, waynest:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a%2F4-a%2F3=-1%2F2 Start with the given equation.


12%28a%2Fcross%284%29-a%2Fcross%283%29%29=12%28-1%2Fcross%282%29%29 Multiply both sides by the LCD 12 to clear any fractions.


3a-4a=-6 Distribute and multiply.


-a=-6 Combine like terms on the left side.


a=%28-6%29%2F%28-1%29 Divide both sides by -1 to isolate a.


a=6 Reduce.


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

Answer:

So the solution is a=6

Answer by waynest(281) About Me  (Show Source):
You can put this solution on YOUR website!
12(a/4) - 12(a/3) = 12(-1/2)
3a -4a =-6-a = -6
a = 6
check
(6/4) - (6/3) = -1/2
(2/3) - 2 = -1/2
(1.5) - 2 = -1/2
-1/2 = -1/2