Okay, so this is all about National Basketball Association. And each of these variables X, y and Z represents a player who scored the most game points in one game. Um, we had X represents. We had Wilt chamber Mint, Wilt Chamberlain in 1962 scoring quite high. Why being Kobe Bryant 2006 and Z again being Wilt Chamberlain Chamberlain. But in 1962. So even though X and Z are the same person, we have to consider them two different variables because he scored. These are the top scoring individuals who scored the highest points in one game. And so will chamber meant Chamberlain did it twice rate two different years, which, Wow, what an amazing accomplishment. I wish I had that in my lifetime. So we're gonna look at this and see, um, we're going to solve for the number of points that they scored in that one game. So notice my equation to in my equation. Three only has two variables, and they both have X. So I'm gonna use substitution in order to solve this system. So I'm going to solve for why, in this first equation leaving X by itself, Um But what I'm going to dio and I hope I don't confuse you is I am going to move. Why? To the right side and 19 back to the left side just because it's a snake It of why I want it to be a positive y. So when I move wide to the right, Seidemann add y to both sides. Giving me X equals 19 plus y and then moving 19 back to the are not back of, but moving 19 to the left side. I'm in a subtracted, giving me X subtract 19 gives me positive Why now? I could have moved X over and then distributed and then moved the negative one over. This is how I chose to do it. I'll do that for this third equation here again, I'm gonna solve it for Z because I want those same variables Case I am going Teoh, I'll do it the other way. Um, just so you can see both ways this time in a move x to the other side, giving me a negative Z equals 22 Subtract x. This negative c is a negative one Z Now we need to move that naked of one to the other side by dividing, leaving me with a positive Z a negative 22 a positive X. So see, it's the same thing, just two different steps, but giving you the same result. Now I'm gonna go back up to Equation one and plug in what I know is equal toe. Why? Which is X, subtract 19 and plug in what I know is equal to Z, which is naked of 22 plus X now the it's and nine the Y in the Z. Both didn't have a coefficient in front of them, so I have no distributing, so I don't necessarily need those parentheses, so I'm just going to get rid of him now. I'm gonna combine like terms. So on my left side I have one X plus another one X plus another one that's giving me three x total. I have a negative 19 person naked of 22 giving me and negative 41 and then I still have that equal to 2 59 Now, this is a two step equation. I'm gonna add 41 to both sides of the equation. Giving me three x equals how I cannot write Sorry. 300 dividing three by each side, giving me 100. So that means Wilt Chamberlain in 1962 scored 100 points in one game. Wow, by one person. That's quite a bit in basketball. Now let's go back up here to my Why. I know what exes. It's 100. I'm a subtract 19 to give me why. So hundreds subtract 1981 points. So Kobe Bryant in 2006 scored 81 points by himself in one game. And then the last but not least, I'm going to substitute again. 100 in here for X, subtract 22 get 78 points. So then again, Wilt Chamberlain scored the third highest on points in a game with 78 points hold by himself. So that were the three highest, um, points scored by one person. So I'm gonna put him again by, like, an ordered payer X first, no necessary with the points. I'm not going to put my units, then 81 then 78. It's a good sign that it's starting with, um, my largest value and decreasing, because I would think that they would put him in a new order. But there is the interesting fact the top three scoring in individual scoring the players of all time.