Today, we learned about the Method of Elimination in Mathland! The process of elimination is, as previously mentioned in the last blog, for solving the variables among two problems/equations. However, it is sometimes easier to use substitution over elimination. There are also three possible solutions for the process of elimination. There can be one unique solution, which means that that is one point of intersection between the two lines. There can be no solutions or inconsistency, which means that they are parallel lines. Finally, there can also be infinite solutions which means that they are the same lines.There are four steps to the method of elimination which includes:
Method of Elimination:
1) obtain coefficients that differ only in sign
2) add equations to eliminate a variable
3) back substitute to solve for second equation
4) check your solution!
The picture above shows how to solve a problem with two equations by using the method of elimination to figure out the speed of the wind and plane from given information such as distance and time going and coming back from mathland.
Good job explaining the 3 possibilities you can get for solutions. This makes your explanation much more thorough.
ReplyDeleteThe example is perfect with little pictures and everything! This makes what you were talking about more clear and concise.
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