Question: How to set both interval and starting points in fsolve?

I knew that fsolve can solve equations by given an interval or a starting point. Like these

fsolve({x-y = 1, x+y = 1}, {x = 0 .. 1, y = 0 .. 1})

fsolve({x-y = 1, x+y = 1}, {x = 0, y = 1})

But what if I knew the interval for only one of the the variable?  After I run this code

fsolve({x-y = 1, x+y = 1}, {x = 0 .. 1, y =1})

I got

"Error, (in fsolve) fsolve cannot solve on x = 0 .. 1"

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