Wow, just when you thought systems were the most difficult, complex problem you have ever solved...you got it! Check out this work by one of my students.
This student is demonstrating how to solve linear systems with addition. As long as there is an x in each system that is the opposite of one another (-8x & 8x), they will cancel and become zero. Therefore, we are then able to solve for y. Once we find y, then -3 is substituted back in for y to solve for x. What a great thing!
Remember, up to this point, this method will only work if you have a situation that allows the cancellation of one of the two variables.
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