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 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.
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 🙏😁✌️
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.
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.
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.
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.
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!
What a fantastic channel
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.
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 🙏😁✌️
Your videos are very helpful and the best on UA-cam. I wonder if u recommend a specific maths book for only practice alongside your videos?
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
I really like this channel! Been subbed for a long time keep going!
Very helpful in introducing the elimination method of solving systems of equations
Best technical explanation of maths subjects channel on you tube. Thank you so much
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.
This video should have 1.2B views and 1B+ likes
Uni just started and the second question in linear algebra was “why does it work?”
Thanks xD
Beautiful. What a lucky man I am to find a channel like this. Loving it! Thanks :)
This is technically the gaussian elimination method.
hi, more precisely, what is the meaning of "both expressions in equation A have the same value?" thank you.
Thank you so much.. why don't teachers give us this type of logic?
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.
u r the most insightful math professor I ever had! danken, professor;
Your content is amazing, I am glad to have found your channel !
Thank you, this is very clear and easy to understand :)
very helpful and intuitive! thanks a ton for making this effort to explain the logic :)
So, the multiplier is rotating the lines about the intersection point. Is that true?
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.
Rotation depends on the ratio of the multipliers applied before adding the two equations. Correct?
@@truthalonetriumphs6572 where did you saw that, I remember from a tutorial here in UA-cam But It dont remember where. Can you share the link please?
@@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.
@@truthalonetriumphs6572 Yeah you have right, I was a little stock in that. Thaks for your response. Keep healthy.
great videos!!! thanks!
Thank you very much. This helped me immensely.
Now... what would happen if we added 2 equations for parallel lines? Trololololo
Adding two equations which describe parallel lines, produces an equation describing another parallel line half-way between the two original lines.