Final answer:
Mathematical equations dealing with proportions and relationships like heat transfer or kinematics can be rearranged to solve for unknowns when all other variables are known, enhancing convenience and solving capability.
Step-by-step explanation:
When equations include variables that are directly proportional or indirectly proportional, they can be rearranged for mathematical convenience. For instance, if we know that the heat gained by substance M is equal to the heat lost by substance W, we can express this as an equation. In cases where a constant, such as A, exists, we can rearrange the equation to isolate In A and equate the various forms of the equation.
This method allows us to solve for unknown variables given the constraints that we need at least one side of the equation to have all known values. When dealing with kinematics, an equation without time (t), such as w² = wo² + 2a0, can be used to find an unknown variable such as w provided that all other variables are known.