Problema Solution
Sometimes it is very obvious which method is most efficient to solve a system of equations because of the way the problem is set up. To be efficient, under what conditions would you use graphing? Elimination? Substitution? Provide an example of each.
Answer provided by our tutors
Graphing when there is no relation between the coefficients of the two equations. Like
2x + 3y = 10
5x + 7y = 20
We use elimination usually when we have some kind of relation between the coefficients of x and y in the equations like
2x + 3y = 10
3x + 2y = 20
We use substitution when in one of the equation one of the terms is completely represented in terms of the other like
2x + 3y = 10
y = 20x - 10