Problem with given/find in linear system. "This variable is undefined"

[IG88]

Hello,

I am doing this exercise about a combined cycle where some of the enthalpies are known. 

The problem is when i try to solve the system the error "This variable is undefined" constantly appears.

I have tried both of the systems i know about describing the solution: 

 Solution:=Find(x1,...) and (x)

                                       (y)  :=Find(x1,...)

Hope there is solution.

Thanks in advance.

IG88

(Uploaded the .xmcd)

[VladimirN]

You did not set all the initial conditions.

[IG88]

Yes, you are completely right. I forgot to copy those variables. Thanks @VladimirN 

It shows me the same error with Find and i have tried to use Minerr but shows nonsense results, knowing the differences between them, so i will continue finding a solution.

[ValeryOchkov]

Sorry!

Better to use the lsolve function for this problem! Not given-find!

[LucMeekes]

I think I have to disagree with you, Valery.

Using lsolve you are forced to structure your problem nicely. The advantag of a solve block is that you can make a mess of the problem.

Luc

[IG88]

The main problem i have just realised is that in some of the equations some unknown variables are multiplying each other, such as x8 and h31. I thought that the idea of using lsolve was great until i realised about that.

I would change the equations and assign values for the h24, h31 and h32 so there isn´t any variable multiplying another.

Thanks.

[ValeryOchkov]

Check please your equation with = and see an error!

[IG88]

i think that it is before i copy those variables. I forgot to upload the new .xmcd.

[ValeryOchkov]

M*x=v

M:=[]  v:=[]

cols(M)=n1

rank(M)=n2    rank(augment(M, v))=n3

n1=n2=n3!!!

x:=lsolve(M, v)=

M*x-v=

[IG88]

Is that how to solve this system with lsolve? 

I have seen something equal to that method dividing the matrix in 4 and then using: 

M = stack(augment(M00,M01),augment(M10,M11))

The problem is that there are some variables that multiply other (x8*h31), making a non linear system, or am i wrong?

That makes impossible using matrices using a column for each variable.

[ValeryOchkov]

Non linear.