This chapter takes a geometric look at the logic behind adding equations - the essential technique used when solving systems of equations by elimination.
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.
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 🙏😁✌️
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.
The explanation seems simple because of the way it is presented. You have no idea how much in depth knowledge you need in order to explain complex concepts in plain English. Not every teacher has that kind of profound knowledge.
el_7amani Three Algebra textbooks you may like with useful examples and problems are: "Intermediate Algebra with Applications & Visualization" - Rockswold & Krieger; "College Algebra in Context" - Harshbarger & Yocco; and "College Algebra" - Cynthia Young
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.
No A1 is the just "some value" of computation of LHS of equation A and A2 is the RHS constant of equation A. So A1 = 3x - y and A2 = 3. Similarly for B2 equation.
When two linear equations whose graphs intersect are added, the NEW equation which is produced will have a graph that also passes through the same intersection but will be rotated from either of the original two equations. The angle of rotation will depend on what multipliers are chosen for each of the original two equations before they are added.
@@adolfocarrillo248 it seemed logical that that's the case ... i don't think i saw another video ... we can try multiplying the second equation by -1, -2, -3, -4 etc and adding to the first equation and plotting the resulting equations at desmos. com and visually see the rotational effect.
