%% The general method of the  system by using MATLAB
%Dejen Ketema April 2019
%Example 1
%2x+y+z=2
%x+y+z=3
%x+2y+3z=10
%Declare the system of equations.
syms x y z
eqn1 = 2*x + y + z == 2;
eqn2 = -x + y - z == 3;
eqn3 = x + 2*y + 3*z == -10;
%Use "equationsToMatrix" to convert the equations into the form AX = B. 
%The second input to equationsToMatrix specifies the independent variables in the equations.
[A,B] = equationsToMatrix([eqn1, eqn2, eqn3], [x, y, z]);
%Use linsolve to solve AX = B for the vector of unknowns X.
X= linsolve(A,B);