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Didn't see makai's post.
the eutectic point is that specific concentration of salt and water that has the lowest melting point of all the possible concentrations. It aloso needs to transform from a total Solid to a total liquid to be a Eutectic point. If it is at a concentration that turns to slush , some water and some solid , its not a eutectic point , its just some point along the partial fraction liquid + solid phase line.
Eutectic= complete solid to liquid transformation on heating at one specific concentration where the melting point is the lowest
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