In my physical chemistry book, I'm reading about "Margules Equations": ln γ A = Βx B 2 ln γ B = Βx A 2 I don't understand where these equations come from. How is it known that there is a single constant Β that satisfies both relationships?

In my physical chemistry book, I'm reading about "Margules Equations":

ln γ_A = Βx_B²
ln γ_B = Βx_A²

I don't understand where these equations come from. How is it known that there is a single constant Β that satisfies both relationships?

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