Final Project - Solving Systems with Elimination
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Hey Gurl! Let's talk about solving systems of equations! When you are given a problem like 2x + 3y = 8 and 2x + 5y = 16, it is easy to solve using elimination!
Ooo, elimination! What does that look like?
First, line up the two equations so that the x's, y's, and integers are directly on top of each other, like this: 2x + 3y = 8 2x + 5y = 16
okay, got it!
Now, I want to "Eliminate" the 2x. Would I need to add or subtract?
Exactly! So I am going to treat this like one big subtraction problem! First, subtract the x's, then the y's and finally the 8 and 16.
Oh, I get it!
Now, my x's are gone and I'm left with the problem: -2y = -8 What would I have to do to solve that?
Divide both sides by -2 and you would get y = 4.
Right! Finally, I am going to use the y = 8 and plug it back into one of my equations to find x. Like this: 2x + 3(4) = 8.
Ok! So, your final answer would be (-2, 4)! I got it! Thanks for your help!
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