How to solve a system of 5 nonlinear equations with 5 variables

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Thierry Rebetez 2021-4-11

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Hi,

I am new on Matlab and I have to solve the following system of nonlinear equations. I don't want a numerical value as a solution. Instead, I want to express one variable in fonction of another one.

In this case, I have the following constants: A, B, C, D, E, F, G, H, I

and the following variables: v, w, x, y, z.

The equations are the following:

C*v*w+H*x*z=(D+G)*y
A*v*z=(B+C*v)*w
E*v^2+C*v*w=F*x+D*y+B*w
E*v^2+G*y=(F+H)*x
I=v+2*x+w+2*y

I want to proceed like this:

Substitute sequentially one equation in one another to reduce the numer of variables, in order to have finally only one remaining equation with the variable y expressed in fonction of constants and the variable z. I don't need a numerical result.

Thanks a lot for your invaluable help!

Regards,

Dearrex79