We use the properties of equality to rewrite equations and solve equations for a variable. These properties allow us to maintain a balance between the two sides of the equation. Why is it important to keep the two sides of an equation balanced when solving? What other properties do we use to rewrite expressions and equations?

so you see, if there is nothing to balance the equations on then the entire thing will fall apart and you wont be able to solve for a variable

a. the moon was locked into orbit by the earths gravity as it was passing by and capture hypothesis i think

the factors that the economies of the muslim empires prosper were:

1- land trade routes-located between three continents  

2- sea trade routes

trade contributed to the spread of muslim empires, and with that islamic culture led to a growing feeling of internationalism resulted in the transfer of technology, science, and other cultural forms.