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using a previous result


Once I've solved a system of equations, I would like to use the
previous results in future equations. If my output is {{p1->x,p2->y}}
how do I assign those values as p1star and p2star so I can reuse them?

Thank you,
David

For example:
q1=a+b p1 +g p2;q2 = c+d p2 + e p1;profit1=p1 q1;profit2=p2 q2;
FullSimplify[Solve[{D[profit1,p1]==0,D[profit2,p2]==0},{p1,p2}]]


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