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

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Thierry Rebetez
Thierry Rebetez 2021-4-11
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

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