Réitigh P_{1}V_{1}=P_{2}V_{2}

$$P _ { 1 } V _ { 1 } = P _ { 2 } V _ { 2 }$$

Réitigh do P_1.

$$\left\{\begin{matrix}P_{1}=\frac{P_{2}V_{2}}{V_{1}}\text{, }&V_{1}\neq 0\\P_{1}\in \mathrm{R}\text{, }&\left(P_{2}=0\text{ or }V_{2}=0\right)\text{ and }V_{1}=0\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Tá an chothromóid i bhfoirm chaighdeánach.

$$V_{1}P_{1}=P_{2}V_{2}$$

Roinn an dá thaobh faoi V_{1}.

$$\frac{V_{1}P_{1}}{V_{1}}=\frac{P_{2}V_{2}}{V_{1}}$$

Má roinntear é faoi V_{1} cuirtear an iolrúchán faoi V_{1} ar ceal.

$$P_{1}=\frac{P_{2}V_{2}}{V_{1}}$$

Réitigh do P_2.

$$\left\{\begin{matrix}P_{2}=\frac{P_{1}V_{1}}{V_{2}}\text{, }&V_{2}\neq 0\\P_{2}\in \mathrm{R}\text{, }&\left(P_{1}=0\text{ or }V_{1}=0\right)\text{ and }V_{2}=0\end{matrix}\right.$$

Céimeanna chun Cothromóidí Líneacha a Réiteach

Athraigh na taobhanna ionas go mbeidh na téarmaí inathraitheacha ar fad ar an taobh clé.

$$P_{2}V_{2}=P_{1}V_{1}$$

Tá an chothromóid i bhfoirm chaighdeánach.

$$V_{2}P_{2}=P_{1}V_{1}$$

Roinn an dá thaobh faoi V_{2}.

$$\frac{V_{2}P_{2}}{V_{2}}=\frac{P_{1}V_{1}}{V_{2}}$$

Má roinntear é faoi V_{2} cuirtear an iolrúchán faoi V_{2} ar ceal.

$$P_{2}=\frac{P_{1}V_{1}}{V_{2}}$$