solve system of equations without using matrices.

Hi, Is it possible to solve a system of equations without using matrices? That is, Can I write a series of unordered linear equations and find the solution?

[Luca]

syms x y z 
eqn1 = 2*x^2 + y + z == 2;
eqn2 = -x + y - z +1== 3;
eqn3 =  2*y + 3*z == -10;

sol = solve([eqn1, eqn2, eqn3], [x, y, z]);

sol.x
sol.y 
sol.z

that's ok,but isn't...

syms x y z 
eqn1 = 2*x^2 + y + z == 2a;
eqn2 = -x + y - z +b == 3;
eqn3 =  2*y +c + 3*z == -10;

sol = solve([eqn1, eqn2, eqn3], [x, y, z]);

sol.x
sol.y 
sol.z

why? Could you help me please? how do you proceed in these cases?

[Sebastian Otegui]

Ok I'm two years late but I think that its suppesed to be 2*a instead of 2a.

[Luca]

2*a ok, but doesn't work

[Tommy]

What if you declare a, b, and c as symbolic also?

syms x y z a b c
eqn1 = 2*x^2 + y + z == 2*a;
eqn2 = -x + y - z +b == 3;
eqn3 =  2*y +c + 3*z == -10;
sol = solve([eqn1, eqn2, eqn3], [x, y, z]);

[Luca]

Yep