Final answer:
To solve for an unknown in a mathematical problem, one should make a list of knowns and unknowns, select appropriate equation(s), solve for the unknown, substitute known values including units, and finally check if the answer is reasonable.
Step-by-step explanation:
Steps to Solve the Equations for Unknown Quantity
To solve for the unknown in a mathematical problem, follow these steps:
Identify knowns and unknowns: Make a comprehensive list of what is given in the problem and what needs to be found (the unknown).
Selection of equation(s): Find an appropriate equation or set of equations that links the known quantities with the unknown. If there is more than one unknown, multiple equations will be required.
Solving the equation(s): Solve the selected equation(s) for the unknown quantity.
Substitution of known values: Substitute the known quantities into the equation(s) and solve for numerical values, making sure to include the correct units.
Checking the solution: Review your results to ensure they are reasonable and make logical sense within the context of the problem.
This systematic approach applies to various types of equations, whether you are dealing with algebraic equations, simultaneous equations, or equations that arise from physical principles.