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What is the advantage that the method od substitution has over the graphing method of solving system of equations?
Substitution is a way to solve without graphing, and sometimes there are equations that are impossible or very difficult to graph that are easier to just substitute. Mostly though, it is a way to solve if you have no calculator or cannot use one (for a test or worksheet).
How do you work out the point of intersection without a graph?
You use algebra and solve the system(s) of equations using techniques such as elimination or substitution.
How do you decide whether to use elimination or subsitution to solve a three-variable system?
There is no simple answer. Sometimes, the nature of one of the equations lends itself to the substitution method but at other times, elimination is better. If they are non-linear equations, and there is an easy substitution then that is the best approach. With linear equations, using the inverse matrix is the fastest method.
How do you use substitution to solve equations?
You plug in what the variable is equal to for that variable then you will be able to finish the problem
Why do you use the addition property of equality?
Why? - Mainly to help in solving equations.
