Given system is
[tex]\begin{gathered} 3t-18=p \\ -4t+24=p \end{gathered}[/tex]Substuting
[tex]p=3t-18[/tex]in the second equation, we have,
[tex]\begin{gathered} -4t+24=3t-18 \\ -4t-3t=-18-24 \\ -7t=-42 \\ t=6 \end{gathered}[/tex]Then,
[tex]\begin{gathered} p=3(6)-18 \\ =0 \end{gathered}[/tex]So, the solution is
p=0,t=6
