SOLUTION: what is x and how do you do it 1/2x+1/3x=8 yahnk you soooooooooooooooooooooooooooooooooo much

Algebra ->  Equations -> SOLUTION: what is x and how do you do it 1/2x+1/3x=8 yahnk you soooooooooooooooooooooooooooooooooo much       Log On


   

Question 9429: what is x and how do you do it
1/2x+1/3x=8
yahnk you soooooooooooooooooooooooooooooooooo much
Answer by prince_abubu(198) About Me  (Show Source):
You can put this solution on YOUR website!
+%281%2F2%29x+%2B+%281%2F3%29x+=+8+ <----- Start

+%281%2F2+%2B+1%2F3%29x+=+8+ <---- Since %281%2F2%29x and %281%2F3%29x are like terms, you can add them together. This now looks like adding fractions. I trust that you know how to find the lowest common denominator and know what to change the numerators to.

+%283%2F6+%2B+2%2F6%29x+=+8+ <---- Found the LCD and fixed the numerators so that they will be equal to the original 1/2 and 1/3

+%285%2F6%29x+=+8+ <----- added the fractions

+x+=+8%2A%286%2F5%29+ <---- multiply both sides by the reciprocal of the function

+x+=+48%2F5+ <---- This is actually the answer. You may also convert that to decimal if you want. It'd be 9.6.