SOLUTION: {{{16/(2-x)=4/x}}}

Algebra ->  Proportions  -> Lessons -> SOLUTION: {{{16/(2-x)=4/x}}}      Log On


   

Question 622824: 16%2F%282-x%29=4%2Fx
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
16%2F%282-x%29=4%2Fx
A single fraction on each side of the equal side, we can use the "cross multiply" method
16x = 4(2-x)
16x = 8 - 4x
16x + 4x = 8
20x = 8
x = 8/20
x = .4
:
:
Check this in the original problem, replace x with .4
16%2F%282-.4%29=4%2F.4
16%2F%281.6%29=4%2F.4
10 = 10; confirms our solution of x=.4