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Week 7 Discussion Questions
1.
Systems of equations can be solved by graphing or by using substitution or
elimination.
•
What are the pros and cons of each method?
Graphing
1.
Pro you can see geometrically how solutions are found.
2. Pro useful when approximate answers are needed.
3. Pro We can solve inconsistent systems with graphs that are parallel lines
and systems of dependent equations that are the same line.
1.
Con If the solution does not involve integers or is too large to be seen on
the graph, it is impossible to tell exactly what the solutions are.
2. It is difficult to accurately find a solution such as a fraction from a graph.
Substitution
1. Pro Gives exact solutions.
2.
Pro  Easy to use if a variable is on one side by itself.
3. Pro We can solve inconsistent systems with graphs that are parallel lines
and systems of dependent equations that are the same line.
1. Cons Solutions cannot be seen.
2. Cons Can introduce extensive work with fractions when no variable has a
coefficient of 1 or 1.
Elimination
1.
Pros Gives exact solutions.
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Pro Easy to use if no variable has a coefficient of 1 or 1.
1.
Con  Solutions cannot be seen.
•
Which method do you like best? Why ? I like the substitution method the
best because one equation is already solved, or can be solved quickly, for
one of the variables.
•
What circumstances would cause you to use a different method?
•
When solving geometry or money problems using two or more variables
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 Spring '10
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