Algebra: Linear Equations

How can I solve this linear systems without using Symbolic toolbox?

a*x + b*y = c1
c*x + d*y + e*z = c2
f*y + g*z = c3

% where a,b,c,d,e,f,g and c1,c2,c3 are constants.
% I need to solve this for Kirchhoff's first law without the symbolic math toolbox.

Thank you so much.

Answer 1

[Ameer Hamza]

If the value of these constants are known, then you can use mldivide: https://www.mathworks.com/help/matlab/ref/mldivide.html

a = 1;
b = 2;
c = 1.4;
d = 1.2;
e = 2.1;
f = 3.2;
g = 1.1;

c1 = 1;
c2 = 2;
c3 = 3;

A = [a b 0;
     c d e;
     0 f g];
 
B = [c1; c2; c3];

sol = A\B;
x = sol(1);
y = sol(2);
z = sol(3);

[Wai Han]

Thanks Ameer Hamza.

[Ameer Hamza]

I am glad to be of help!