If a = b and 1/x + 1/a = 1/b then x =

1/x+1/a=1/a

minus 1/a from both sides

1/x=0

false

let's try a differnt way

1/x+1/a=1/a

times both sides by xa

a+x=x

minus x from both sides

a=0

?

1/0 is undefined

this creates problems

no solution