How to solve a system of linear equations ?

Hi,how can i solve this system in Mupad and get only the positive real solutions.

x + y + z = 50

5x + y + 0.1z = 50

Thank You :)

Answer 1

[Friedrich]

Hi,

You have 3 degrees of freedom and 2 eqations, so there is NO unique solution.

So doing some basic math gives:

z free to choose and

x = 0.225*z
y = 50 - 1.225*z

So when you choose z to be 40 you get x = 9 and y = 1.

Answer 2

[Azzi Abdelmalek]

sol=[1 1 1;5 1 0.1]\[50;50]

[Sudo]

this doesn't give a real solution.the solution i want should be 9,1 and 40.

[Youssef Khmou]

hi :

 a=[1 1 1;5 1 0.1]
 b=[50 50]';
 sol=pinv(a)*b;  %Pseudo inverse