[tex]\frac{P_{1}V_{1} }{T_{1} } = \frac{P_{2}V_{2} }{T_{2} }[/tex]
Let's start off by multiplying each side by [tex]T_{1}[/tex]
[tex]P_{1}V_{1} } = \frac{P_{2}V_{2} T_{1} }{T_{2} }[/tex]
Divide each side by [tex]P_{1}[/tex]
[tex]V_{1} = \frac{P_{2}V_{2} T_{1} }{T_{2}P_{1} }[/tex]
