SOLUTIION
The given equations are
[tex]p+q+r=32,p-r=4,2p+q=36[/tex]
This further gives
Therefore the solutions are:
[tex]p=\frac{-q+36}{2},r=\frac{36-q}{2}-4[/tex]
From the option considering the value q=8, it follows
[tex]\begin{gathered} p=\frac{-8+36}{2} \\ p=14 \end{gathered}[/tex]
And
[tex]\begin{gathered} r=\frac{36-8}{2}-4 \\ r=14-4 \\ r=10 \end{gathered}[/tex]
Therefore the solution is
[tex](14,8,10)[/tex]
