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Boyle's Law postulates that in a system with uniform temperature, the pressure of an ideal gas is inversely proportional with volume of the gas. Thus, the pressure times the volume is equal to a constant value in the system, often shown as $PV = k$ (k is the constant). Since the constant is the same no matter the circumstances in the system, the law can be used to relate changes in pressure or volume as $P_{1}V_{1} = P_{2}V_{2}$ (where 1 indicates the initial and 2 is the final state).  Charles's Law states that in a system with uniform pressure, the temperature is inversely proportional to the volume of the container holding the ideal gas ($V \propto T$). Since this law applies to any variation in volume or temperature, it can be written as $\frac{V_{1}}{T_{1}} = frac{V_{2}}{T_{2}}$ \frac{V_{2}}{T_{2}}$  Thus by using Boyle's law, a change in pressure or volume can be determined using $P_{1}V_{1} = P_{1}V_{1}$ (where 1 indicates the initial and 2 is the final state)