/sci/ - Science & Math

>>15972871
I need to do so chem stuff for my fucking math modele...
I want to solve the stoichiometric equation in pic rel, and find the values of [math] a,b,c,d[/math]. I am working under two hypothesis :
(i) Nitrogen is assumed not to change the equation state and, does not contribute to uniquely define the equation system.
(ii) b is assumed to be known.

Using (i), I write out the following linear system :
[math] \begin{align} 6 &= b+c \\
12+0.45b &= 1.79b+2d \\
6+2a&=0.57b+2c+d
\end{align}[/math]
which is pretty straightforward to solve using (ii).
Can one tell me if my formulation of the above system correct please?