Recent content by Nikola276

Thank you all, I understand it know :) just one more question, can solution be found somehow in 3-axis coordinate system like in video of the posts before using matrices? what software should I use?

I know it's not correct, the only solution is 93 for z(a), but is it defining it before conclusion a mistake (based on equation at the start)? it just seems more precise, if it's dumb please say it, because I don't have the knowledge to tell.

Well non-negative means the number is 0 or greater. I assumed the two cases where when either x or y had to be 0. Why you didn't use term positive then? It's true, if y is set to 0 solutions aren't positive integer. Ok, so regarding the Equation 2, I still can't say that the solution z(a)<98?

Also the second part, it is not entirely false that a<98, from Equation 2, the sum of all three variables has to be 100, so x and y each respectively have smallest possible value of 1. Later on I get to the part where z can be either 93 or 96, but by substituting I eliminate 96.

My bad, I mixed the term with something else, I'm looking into different stuff simultaniesly... But still I got the correct meaning? x=0 => z(a)=90 and y=10, also y=0 => z(a)=93.75 and x=6.25? that would be the 2 cases?

I did some work on matrices but I managed to do similar as I sad using basic algebra already, but nevertheless now knowing how to reduce matrice to reduced row echoleon form is useful, I will add that to my final paper for sure. blue_leaf77 and Ray Vickson, so there are two non-positive integer...

Ray Vickson, I didn't understand where u got the condition that x variable has to be 3 times bigger then z variable? Do you conclude that from Equation 2? I don't see the connection, am I missing something out?

Oh ok, I didn't go through your whole post that is more in-depth yet, I have that in mind. I have to check out terminology to know if I know what you are talking about (inequalities). I won't ask any more stupid questions, after I observe the materials you gave me in complete tomorrow, I will...

Aand I can find the range of z (a) only by guessing?

Also I did something simmilar but coudn't figure how to proceed So I have to set assumption that z=93?

Thank you, I will check that out, I hope it's in detail because I studied only basic operations with matrices this year in my high school, here in Europe. My friends generated the variables and equations via their own algorithm in Lazarus, I don't quite remember if the solutions are unique...

Yes, thank you for the fast replays. What Delta said is correct, variables must be positive integers. Blue leaf, I don't quite manipulate well with matrices, I didn't really get what you said but thanks. Buzz bloom, I expressed myself wrong. By saying "prove" I meant to find a way of finding...

Homework Statement Homework Equations Equation 1: 3x+2y+1/3z=50 Equation 2: x+y+z=100 The Attempt at a Solution I know that the variables go like this: x=5, y=2 and z=93. I solved this combining different variables until I got the right "combination". I have to prove these solutions, any...