# How to solve the following equations with a given data. I need the correct coding to solve .

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clc
clear all
D=1600;
C0=400;
Ch=10;
Cb=600;
Gamma=0.7;
Cl=2000;
b=250;
lamda=0.09;
beta=0.1;
syms Q,r
solve(Q,r);
r=(( Gamma*((Cb*D)-((1+Lamda)*Ch*Q)))+(Cl*(1-Gamma)*D))*b)/(((1-Gamma)*(((1+Lamda)*Ch*Q)+(Cl*D)))+(Gamma*Cb*D));
Q=(2*(Q^beta)*b*D)+(b*(Q^2)*Ch*(1+lamda))-((Gamma*Cb*D)+(Cl*(1-Gamma)*D)*((r^2)-(2*r*b)+(b^2)));
r=solve(subs(Q));
Answer Q=1455 and r = 247.5

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shunmugam hemalatha on 30 Jun 2020
I am sorry sir. I don't know to type in LaTeX form .
madhan ravi on 30 Jun 2020
or a picture from where you took these equations.
shunmugam hemalatha on 30 Jun 2020
Good morning sir,
Actually, they have given in a different notation. Also, I got the answer for r =247.5 by substituting the value of Q = 1455. (Just for verification)
The only problem is to find the 'Q', which is obtained by solving the equation (what i have given ), thereby substituting the equation 'r' in that. So that I need your help.
Thank You very much for your response.

madhan ravi on 30 Jun 2020
The below code is the way to solve them but the answer is no way near to get what you want , you have to experiment yourself to check if you input the eqautions properly.
D=1600;
C0=400;
Ch=10;
Cb=600;
Gamma=0.7;
Cl=2000;
b=250;
Lamda=0.09;
beta=0.1;
syms Q r positive
eq = [ ((Gamma*((Cb*D)-((1+Lamda)*Ch*Q)))+(Cl*(1-Gamma)*D)*b) /...
(((1-Gamma)*(((1+Lamda)*Ch*Q)+(Cl*D)))+(Gamma*Cb*D));...
(2*(Q^beta)*b*D)+(b*(Q^2)*Ch*(1+Lamda))-...
((Gamma*Cb*D)+(Cl*(1-Gamma)*D)*((r^2)-(2*r*b)+(b^2)))];
[Q,r] = solve(eq,'real',1)
double(Q)
double(r)

#### 1 Comment

shunmugam hemalatha on 30 Jun 2020
Once again I'm really for your response.
Sir,
Just now I took the picture of those two equations. And while I’m using the code, still, I didn’t get the answer. It shows like this.
ans =
1.1646e+04.
In this page, the picture is not getting pasted. So i will put in the Question page.