As Mr. Usaman mentioned you follow the given links to solve the system of equations.
I just wanted to add the simple code that might help you
A = [5 -2 4; 1 1 1; 4 -3 3];
B = [17 9 8]';
X = [A B];
R = rref(X)
R would be In Reduced Row echelon form which can further solved to solve for the variables.
But from numerical standpoint to solve for the x,y,z using R = A\B would be more efficient. This calculates the least square solution.
Hope this helps!