Absolute Value with Two Variables? Say Less: Optimizing Absolute Equation Solving.

Solving absolute value equations typically requires that we consider several different "cases", in which we represent the quantity we're taking the absolute value of as either a positive or a negative. For a single variable, this is fine, as it usually only requires two cases, but for multiple variables, this method can quickly become unwieldy. Can we do any better?
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Of course! Well, of course, depending on the particular equations we're solving. In today's video, we're solving two equations in which we can be a little clever about what we can discover for the variables before we fully consider the different cases. Doing so lets us considerably reduce the amount of we need to do in order to solve the system of equations.
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[@Mr.Putrid]

im going to show this to my math teacher

[@AmishSharma-tw2kje]

amazing video i wish i could learn jee advanced maths from you sir amazing explaination.!!!

[@polymathematic]

you're very kind, thank you!

[@math_travel]

it is a very interesting problem. at first, I was about to consider the conditions of A and B step by step. so I saw how you solve it. clever and easy solution! thanks !

[@JayTorres]

I’m really enjoying these videos! They are both education and entertaining!