SOLUTION: can you show me how to do this problem 2/3 x +1/6x=2

Algebra ->  Equations -> SOLUTION: can you show me how to do this problem 2/3 x +1/6x=2      Log On


   



Question 167915: can you show me how to do this problem 2/3 x +1/6x=2
Found 2 solutions by checkley77, jim_thompson5910:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2/3 x +1/6x=2
2X/3+X/6=2
(2X*2+X)/6=2
4X+X=12
5X=12
X=12/5 ANS.
PROOF:
(2*12/5)/3+(12/5)/6=2
(24/5)/3+(12/5)/6=2
24/5*1/3+12/5*1/6=2
24/15+12/30=2
48/30+12/30=2
60/30=2
2=2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%282%2F3%29x%2B%281%2F6%29x=2 Start with the given equation.


6%28%282%2Fcross%283%29%29x%29%2Bcross%286%29%28%281%2Fcross%286%29%29x%29=6%282%29 Multiply EVERY term by the LCD 6 to clear any fractions.


4x%2Bx=12 Multiply and simplify.


5x=12 Combine like terms on the left side.


x=%2812%29%2F%285%29 Divide both sides by 5 to isolate x.


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

Answer:

So the answer is x=12%2F5 which in decimal form is x=2.4.