SOLUTION: please help me with this, if 4/5+(3/10)=x+1/2, then x=

Algebra ->  Functions -> SOLUTION: please help me with this, if 4/5+(3/10)=x+1/2, then x=      Log On


   



Question 255778: please help me with this, if 4/5+(3/10)=x+1/2, then x=
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
%284%2F5%29%2B%283%2F10%29=+x%2B%281%2F2%29, then x=
:
Multiply equation by 10 to get rid the denominators, results:
2(4) + 3 = 10x + 5
:
8 + 3 = 10x + 5
:
11 = 10x + 5
:
11 - 5 = 10x
:
6 = 10x
x = 6%2F10 = 3%2F5
:
:
Check solution in original equation; x=3%2F5
%284%2F5%29%2B%283%2F10%29=+%283%2F5%29%2B%281%2F2%29
convert to the common denominator (10)
%288%2F10%29%2B%283%2F10%29=+%286%2F10%29%2B%285%2F10%29
11%2F10 = 11%2F10; confirms our solution