In[]:=
Table[​​Take[Solve[​​-10p-26t5&&​​-5.3p+19t(var1-50),​​{p,t}]],{var1,10,30,4}]//Flatten(*solution1*)
Out[]=
{p2.88286,t-1.3011,p2.56559,t-1.17907,p2.24832,t-1.05705,p1.93106,t-0.935021,p1.61379,t-0.812996,p1.29652,t-0.69097}
In[]:=
f[p_,t_]:=Take[#&p]
Manipulate[​​Solve[​​2.88286(*toincludeallvaluesofpfromsolution1*)0.42-2.4s+1.52c&&​​da15-1.4s+0.425723972217329c],​​{c,10,50}](*solution2*)
Out[]=
​
c
{{da11.8272,s5.30714}}