Respuesta :
[tex]P=\frac{KT}{V}\\\\V*P=\frac{KT}{V}*V\\\\PV/T=KT/T\\\\\frac{PV}{T}=K\\\\\\K=\frac{PV}{T}[/tex]
we have
[tex]P=\frac{KT}{V}[/tex]
Solve for K means clear the variable K
so
Multiply both sides by [tex]V[/tex]
[tex]PV=V\frac{KT}{V}[/tex]
[tex]PV=KT[/tex]
Divide both sides by [tex]T[/tex]
[tex]PV/T=KT/T[/tex]
[tex]K=PV/T[/tex]
therefore
the answer is
[tex]K=PV/T[/tex]