Today's adventure in Mathland, we took a trip to Algebra City and learned about solving systems by elimination. It's simple as long as you follow the 4 easy steps.
1. Obtain coefficients that differ only in sign.
2. Add the equations to eliminate a variable.
3. Back substitute to solve for the second equation.
4. Check your solution.
It's up to you to chose whether to solve by substitution or by elimination, but it can sometimes be easier to solve systems with equations that have coefficients by using elimination.
Which way of solving systems do you find faster or easier?
I find both elimination and substitution easy and fast. I would prefer to use elimination when there are coefficients. I also would use elimination when you can easily eliminate a variable. I would use substitution when there is an equation where you can easily find a variable for example: x+y=100.
ReplyDeleteI think that it depends on the problem. If it is easier to isolate a single variable, I would use substitution. However, if there seems to be a low number as a LCD for the equations, I would use the process of elimination. However, I really like how you clearly state the steps!
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