Solving a system of Non-linear equations for Combustion

I am trying to solve for mole fractions of a combustion reaction. My textbook says that MATLAB can solve systems of non-linear equations but I am not sure how to solve for the equations they have set up. In the picture below (from my textbook) I want to find all Values of Xi.

Answer 1

[Abhisek Pradhan]

Non-linear equations can be solved using Optimization Toolbox.

Refer the following link which has examples for solving systems of Non-linear Equations and use the problem-based approach to solve the equations.

https://www.mathworks.com/help/optim/systems-of-nonlinear-equations.html?s_tid=CRUX_lftnav