Machiavelli believed that public and private morality had to be understood as two different things in order to rule well. Machiavelli believed as a ruler, it was better to be widely feared than to be greatly loved. A loved ruler retains authority by obligation while a feared leader rules by fear of punishment.
I have provided a chart that further explains this topic.
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Answer:
They had a Hierarchical Government ruled by Kings and Priests.
Explanation:
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Since both equations equal y you can do

. then do:

and then you get:
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