How do I append my answers in an array, while using loop?

Good day, please can someone help me with this problem?

In the code below, I want to add the following conditions:

1. Solve the equation 10 times using a "for" loop or while function. That is, have a variable L=10, and substrate 1 from it after each iteration. End loop, when L=0.
2. Create an array of two column vectors for the x and y values from each iteration, with x=6, and y=5 as the first values of this array. Similar to append.
3. Each solution of x and y, will be used as the z and w values for the next iteration.

z = 6;
w = 5;

syms x y 
eqn1 = x + y + z + w == 13;
eqn2 = 2*x + 3*y - w == -1;

sol = solve([eqn1, eqn2], [x,y]);
xSol = sol.x
ySol = sol.y

Answer 1

[VBBV]

z = 6;
w = 5;

syms x y 
eqn1 = x + y + z + w == 13;
eqn2 = 2*x + 3*y - w == -1;

A = [6 5; zeros(10,2)];  % create matrix with x and y values as 
L = 10;
k = 2;

% using while loop
while L > 0
    sol = solve([eqn1, eqn2], [x,y]);
    xSol = (sol.x);
    ySol = (sol.y);
    A(k,:) = [double(xSol) double(ySol)];  % use double 
    Z = double(xSol);  
    W = double(ySol);
    syms z w x y;
    eqn1 = x + y + z + w == 13;
    eqn2 = 2*x + 3*y - w == -1;
    eqn1 = subs(eqn1,[z,w],[Z,W]);  % substitute new values for z and w in eqn1  
    eqn2 = subs(eqn2,[z,w],[Z,W]); % substitute new values for z and w in eqn2 
    k = k+1;
    L = L-1;
end

A  % final matrix with appended values 

A = 11×2

6 5 2 0 34 -23 30 -28 62 -51 58 -56 90 -79 86 -84 118 -107 114 -112

[VBBV]

In each iteration inside the while loop, you need to define both the equations symbolically and susbstitute with new values for z and w variables as above

[Uche]

Amazing! Thank you.

[Uche]

@VBBV For this line, I would not want to specify a fixed number of columns (in this case 10). How can I leave the number of rows as a variable?

This is the problem I am having, if I specify 20, but run the 10 iterations, the first 10 positions are filled, the rest are returned as zeros. I don't want the zeros.

A = [6 5; zeros(10,2)];  % create matrix with x and y values as