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How does the Substitution Method work? What situation would make it more convenient to use?
See solution.
Both the Substitution Method and the Elimination Method are useful to solve systems of equations. In this exercise, we will review how the Substitution Method works, and then we will decide when it is convenient to use it.
In a system of three equations, this method starts by reducing the system to one of two variables. To do this, we isolate one of the variables from one the system equations, then we substitute it in the remaining equations to eliminate said variable.
As the Substitution Method works by isolating a variable in one of the equations and then substituting it in the others, having a system in which we can solve for one variable easily or having it already isolated can facilitate using this method. However, preferences may vary, and we are always free to choose the method we like.