Algebra 38 - Why the Elimination Method Works

This chapter takes a geometric look at the logic behind adding equations – the essential technique used when solving systems of equations by elimination.

[jamestaylor]

Simply incredible.  As someone who has worked with schools for  +25 years I can tell you that math is the number one challenge most students face.  For students who do not understand Algebra it can appear as if teachers are pulling solutions  out of thin air, or making them up as they go along.  Your videos do an incredible job of explaining where these solutions come from while providing the viewer an understanding they themselves can retain and use to solve equations. 

I've watched Why U spread like wildfire across schools here in Florida.  I truly hope the US Department of Education climbs on board soon.  Far too many of our students are walking into college wasting time and money having to take basic per-algebra and algebra classes over again.

Kudos to Why U for giving our students such an incredible, and free, math resource!    Well done Why U staff.

[axsmasher]

The amazing thing is, this was never explained to us in class and we didn't even question it at that time. Thanks, great video!

[hardani.ismunabil]

this concept really enlightened me on the works of why elementary transformation on a matrix form system of linear equation doesnt change the solution...

maybe i phrase that wrong, but i find that this lecture very useful, thanks for that 🙏😁✌️

[sighisoaraa]

This also applies to substitution. By solving for a particular variable in an equation and substituting that variable into the other equation, we create a line that goes through the intersecting point of the original two equations.

[mohammedhafiz]

Best technical explanation of maths subjects channel on you tube. Thank you so much

[guruappeal]

I really like this channel! Been subbed for a long time keep going!

[chimwemwechinamale]

This video should have 1.2B views and 1B+ likes

[mariacorazonlomibao]

Very helpful in introducing the elimination method of solving systems of equations

[jkgan]

Beautiful. What a lucky man I am to find a channel like this. Loving it! Thanks :)

[AlessandroZir]

u r the most insightful math professor I ever had! danken, professor;

[sriraghavtanikella]

This is technically the gaussian elimination method.

[BUF]

Your videos are very helpful and the best on YouTube. I wonder if u recommend a specific maths book for only practice alongside your videos?

[Tiger-]

Thank you, this is very clear and easy to understand :)

[gnork]

Uni just started and the second question in linear algebra was “why does it work?”
Thanks xD

[Latif.Kakule]

Thank you so much.. why don't teachers give us this type of logic?

[vrd]

Your content is amazing, I am glad to have found your channel !

[arifkizilay]

Hi, (at 3:29). Just to be clear, I believe A1 is the y value, and A2 is the x value. Likewise, B1 is the y value, and B2 is the x value. So when we add the two equations, they have the same x and y values in the equation produced by adding the previous two equations. Have I understood correctly? Thank you.

[punjwanishahroz]

very helpful and intuitive! thanks a ton for making this effort to explain the logic :)

[arifkizilay]

hi, more precisely, what is the meaning of "both expressions in equation A have the same value?" thank you.

[Trunksr]

Thank you very much. This helped me immensely.