Question 962747
{{{y-(y/(y+1)) = 1/(y+1)}}}
multiply the equation by (y+1)
(y+1)*y - (y+1)*{{{y/(y+1))}}} = (y+1)*{{{1/(y+1)}}}
Cancel the denominators
y(y+1) - y = 1
y^2 + y - y = 1
y^2 = 1
y = {{{sqrt(1)}}}
y = +/- 1
however
y = +1 is the only solution (-1 give division by 0)
:
:
Check this in the original problem
{{{1-(1/(1+1)) = 1/(1+1)}}}
{{{1-(1/2) = 1/2}}}