Problem on system of equations

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Is it possible to solve a system of equations with 3 variables knowing just 2 equations? I'm trying to figure out if it is possible/how, but I failed so far. $$ \begin{cases} 0,2x+0,3y+0,1z=0,35(x+y+z)\\ x+y+z=5\end{cases} $$ i also know conditions $\begin{cases}0\le x\le6\\ 0\le y\le2\\ 0\le z\le8\end{cases}$

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it's depend what you call "solving". You will not get 3 scalar values for x,y,z, but you will get a relation between them. For a linear system it will be of dimension 1.

Interpretation: this system tells that (x,y,z) belong do 2 different planes.