Question 1190753

given:

{{{x= (1-y)/(1+y)}}}

{{{ y=(1+z)/(1-z)}}}..........solve for {{{z}}}

{{{y(1-z)=(1+z)}}}

{{{y-zy=1+z}}}

{{{y-1=zy+z}}}

{{{y-1=z(y+1)}}}

{{{z=(y-1)/(y+1)}}}


then

{{{x+z=(1-y)/(1+y)+(y-1)/(y+1)}}}

{{{x+z=(1-y+y-1)/(y+1)}}}

{{{x+z=0/(y+1)}}}.........quotient of zero divided by any number will be zero

{{{x+z=0}}}