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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. 2. 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? ... View Full Document