If $AX=B$ and $A'X=B'$ are equivalent if $[A|B] \sim [A'|B']$, show that inverse is not true

Question

It is known that :

if $AX = B $ and $A'X = B'$ ;

then $ [A|B] \sim [A'|B']$

On the other hand, how can I show that converse of that definition is not true for all conditions.