How do you solve n/(7-n)+3/5=1?

1 Answer
Apr 17, 2018

n = 2

Explanation:

n/(7-n) + 3/5 = 1

n/(7-n) + color(red)(cancel(color(black)(3/5) -3/5)) = 1 color(red)(-3/5)

n/(7-n) = 5/5 - 3/5

n/(7-n) = 2/5

We can cross multiply here.

n xx 5 = 2 xx (7-n)

5n color(red)( +2n)= 14 color(red)(cancel(color(black)(-2n) +2n))

(color(red)(cancel(7))n)/color(red)(cancel(7)) = 14/color(red)(7)

color(blue)(n = 2)