In analytical chemistry, when we have to consider more than one equilibrium, the problem can be reduced to solving a system of non-linear simultaneous equations by applying the mass and charge balance equations.
Conventionally, the equations are converted to a polynomial equation through simple substitution and then subsequently solved using an online equation solver. So, I was wondering if there's an easier way to solve the system of equations directly (i.e., without manipulating to a polynomial) using a graphing calculator.
I know this just sounds like I'm being lazy, but it would definitely save a lot of time considering that I'm used to dealing with 6 or more equations at a time. For reference, the graphing calculator I'm referring to is the TI-nspire CX II.
Any insight into this would be greatly appreciated. Thanks for reading!