I got a viewer request to solve this system of linear equations

X=19-13 X=6 Y=13-6 Y=7 10X+Y=67

We can readily subtract linear equations because thier subtraction isolates structure in a reliable way, whereas the difference between non-linear terms depends on the unknown itself, so elimination no longer isolates structure, it entangles it. (2x + y) - (x + y) = 19 - 13 …the y-terms cancel so x = 6 Plug back into x + y = 13 gives y = 7 So: 10x + y = 10(6) + 7 = 67

i got it immediately and it made me want to turn into milk and cookies

It’s 67 again isn’t it?

“YO UNC”???😭😭😭

ez. use a matrix

I paused it at 0:04, did the math in my head, and groaned.

Or you could multiply eq1 by 2 and then subtract eq2 to get y=7, and go from there 2x + 2y = 26 - 2x + y = 19 => y = 7

How do they relate to each other? I was thinking "they both have an x and a y". I guess you have to start somewhere. 🤣

Not sure if you know my son Daniel Hooker. He’s currently there finishing his master’s in physics but also received his undergrad degree in math.

Of course this is the fastest way.

Substitute for y , X=6 therefore Y=7 , that is where the two equations intersect on a Cartesian plane.

In this kind of systems I usually add a dimmi equazioni Made by the sum or the difference between the previous two in order to have quickly one of the two variable explicited. Then i solve it quickly. Most of the time I can make in in my mind

Please how do I make child love mathematics, I have math phobia myself it been a concern for me.

This makes me sad where was this guy when I was in school great video. Teachers like this save the world 🌎

Yo onk, I saw in a recent video that you made a delineation between multiplier and multiplicand. I've been giving a vocabulary quiz to my students for years where they have to use these words in classic format: x y _______ Would x or y be the multiplier in your opinion?

I am so glad I followed you. I will recommend this channel to a lot of people