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To replace a number in an equation
The purpose is to determine the available energy. Some of the energy in any system is useless - can't be converted into useful work.
You don't use unknown variables to solve an equation. The purpose of solving an equation is to find the value of the variable so that it's no longer unknown.
All things are sorted or categorized in this world. We need to know the proper equation to find the solution to which set theory is best for our purpose.
The purpose of every mathematical equation to assist us in predicting (calculating) the outcome of counting.For example,3+2=5, if we put together 3 potatoes and another 2 potatoes and count them all together, we will find 5 potatoes!