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**There's a flaw in my logic, and I cannot find it.**

**Ok, all you are allowed to use is Charles' Law (V/T = K) and Boyle's Law (PV = K) and you have to derive an equation relating pressure and temperature.**

V = kT

V = k/P

kT = k/P

PT = 1

Therefore P

But, this is the exact opposite of what Gay-Lussac's Law states

V = kT

V = k/P

kT = k/P

PT = 1

Therefore P

_{1}T_{1}= P_{2}T_{2}But, this is the exact opposite of what Gay-Lussac's Law states