Show that if Ax=b has more than 1 solution, it has infinitly many solutions

Show that if Ax=b has more than 1 solution, it has infinitly many solutions.

Hint: If and are two solutions consider where

Here's my start
let and be distinct solutions to then and

Why must r+s=1?

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Originally Posted by Jskid

Hint: If and are two solutions consider where

Here's my start
let and be distinct solutions to then [maht]Au_1=b[/tex] and

Why must r+s=1?

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