Boyle's Law

Now we know:  `(P_1\ \ V_1)/T_1=(P_2\ \ V_2)/T_2`

and we know Boyle's law `=` temperature constant

If we choose ONE for the value of `T`

NOTE: It doesn't really matter what value you choose, they will cancel each other out being the same

then  `(P_1\ \ V_1)/1=(P_2\ \ V_2)/1`

is the same as

`P_1\ \ V_1=P_2\ \ V_2`

This is Boyle's law