Final answer:
To use a system of equations to find the solution algebraically, follow these steps: identify the unknowns and knowns, write down the equations, solve for one variable, substitute the expression into the other equation(s), solve for the remaining variables, and check your answer(s) for reasonableness.
Step-by-step explanation:
Using a System of Equations to Find the Solution Algebraically
1. Identify the unknowns and knowns.
2. Write down the equations that represent the given information.
3. Solve one of the equations for one variable in terms of the other.
4. Substitute this expression into the other equation(s), replacing the variable.
5. Solve the resulting equation(s) to find the value(s) of the remaining variable(s).
6. Check your answer(s) to ensure they make sense in the context of the problem.