You can use the function fsolve to solve a system of non-linear equations.
Please refer the following link to know more about this function:
You can also refer the examples in the above link for a better understanding of the function.
The following steps might help you:
1. Convert the equations to the form F(x) = 0.
2. Write a function that computes the left-hand side of these three equations.
3. Save this code as a file on your MATLAB path.
4. Solve the system of equations starting at the given point.
function f = eqn(x)
f(1) = x(1)+x(2)+x(3)-2;
f(2) = x(1)+3*x(2)+4*x(3)-7;
f(3) = x(1)-2*x(2)+3*x(3)+x(1)*x(2)+x(2)*x(3)+x(3)*x(1)+x(1)*x(2)*x(3)-6;
end
Save this function as a file and execute the following code.
func = @eqn;
x0 = [0,0,0];
x = fsolve(func,x0)
