How can I solve a system of equations symbolically?

This is the code that I'm trying to run:

clear;

clc;

syms F1 F2 F3 a m x1 x2 x3 L1 L2 L3;

F = [F1; F2; F3];

x = [x1; x2; x3];

b = [L1; L2; L3];

A = [1 2*m 0; a 3*m 1; 1 1 a];

%Solve F=A*x + b for x (x1, x2, x3)

solve('F1 = x1 + 2*m*x2 + L1', 'F2 = a*x1 +3*m*x2 + x3 + L2', 'F3 = x1 + x2 + a*x3', x1, x2, x3)

I'm trying to get it to solve for x1, x2, and x3 as a function fo the other values. Is there even a way to do this or am I trying to do something that MATLAB doesn't have the ability to do? Please help. Thanks!

Oh, the version of MATLAB I'm using is r2011a.

[Dan]

Ideally, I'd like to just be able to say:

solve('F = A*x + b', x1, x2, x3);

I tried that and it didn't work. Is there anything similar to this that I could use?

Answer 1

[Andrei Bobrov]

syms a m L1 L2 L3;
A = [1 2*m 0; a 3*m 1; 1 1 a];
b = [L1; L2; L3];

x = A\b

[Dan]

This is exactly what I needed! Thank you. I guess I just didn't realize that this would still work. I thought I'd need to use solve for some reason. I did make the following adjustment:

syms F1 F2 F3;

F = [F1; F2; F3;];

B = F - b;

x = A\B

Thanks again!