System of equations solved numerically

Given the system of equations below, solve for the value of each letter using the numeric technique (not symbolic).

A + A + B + B = 63

A + B + C + D = 40

A + E + E + B = 15

A + C + C + D = 26

E + B + C + D = 33

This is the question. My code is below. (green is just explanation/notes of the code if it wasn't clear)

I got an answer of

A =-1.25

B =32.75

C =18.75

D = -10.25

E =-8.25

Is my code set up correctly to solve numerically? I think it is just want a reaffirmation. Thanks

Answer 1

[Ameer Hamza]

Yes, technically vpasolve() gives a numerical solution, you have met the requirement. However, if you want to avoid symbolic altogether, then use MATLAB native operator mldivide (\). https://www.mathworks.com/help/matlab/ref/mldivide.html

% cofficients of A B C D and E in each equation
A = [2 2 0 0 0; 
     1 1 1 1 0;
     1 1 0 0 2;
     1 0 2 1 0;
     0 1 1 1 1];

% RHS of the equations
B = [63; 40; 15; 26; 33];

sol = A\B; % values of A B C D E