Final answer:
Solving a system of equations using the substitution method involves identifying known values, algebraically expressing one variable in terms of another, substituting to solve for one variable, back-substituting to find the second variable, and checking the reasonableness of the solution.
Step-by-step explanation:
To solve the system of equations using the substitution method, you must follow several methodical steps. Begin by making a list of what is given or can be inferred from the problem, identifying the knowns. Next, solve one of the equations for one variable in terms of the others.
This step involves algebraic manipulation. Once you have expressed one variable in terms of another, you can substitute this expression into the other equation. This substitution will yield an equation with one variable, which you can then solve.
After finding the value of the first variable, substitute this value back into the expression derived from the first equation to find the value of the second variable. Once both variables are known, substitute the known values along with their units into the appropriate equation to obtain a numerical solution complete with units.
Finally, it is important to check your answer to see if it is reasonable and ensures that the solution makes sense both numerically and unit-wise.