a+1/b=1 and b+1/c=1 c+1/a=?

1 ⤊

a+1/b=1 and b+1/c=1 c+1/a=?

2007-02-24 07:36:02 · 2 answers · asked by Anonymous in Science & Mathematics ➔ Chemistry

2 answers

a+1/b=1......from this a=(b-1)/b
b+1/c=1........from this c=1/(1-b)
subsitute the value of a&c in c+1/a=1/(1-b)+b/(b-1)
=1/(1-b)-b/(1-b)
=(1-b)/(1-b)
=1

2007-02-26 01:29:03 · answer #1 · answered by sarath v 1 · 1⤊ 0⤋

a + 1/(1-1/c) = 1
a = 1- c/(c-1)
c + 1/a = c + 1/(1-c/(c-1)) = c + (c-1)/(c -1 -c) = c - c + 1 = 1 Ans.

2007-02-24 09:12:27 · answer #2 · answered by Scythian1950 7 · 0⤊ 0⤋