Whakaoti i te PV=nR

$$P V = n R$$

Whakaoti mō P (complex solution)

$$\left\{\begin{matrix}P=\frac{Rn}{V}\text{, }&V\neq 0\\P\in \mathrm{C}\text{, }&\left(n=0\text{ or }R=0\right)\text{ and }V=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$VP=Rn$$

Whakawehea ngā taha e rua ki te V.

$$\frac{VP}{V}=\frac{Rn}{V}$$

Mā te whakawehe ki te V ka wetekia te whakareanga ki te V.

$$P=\frac{Rn}{V}$$

Whakaoti mō R (complex solution)

$$\left\{\begin{matrix}R=\frac{PV}{n}\text{, }&n\neq 0\\R\in \mathrm{C}\text{, }&\left(P=0\text{ or }V=0\right)\text{ and }n=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$nR=PV$$

Whakawehea ngā taha e rua ki te n.

$$\frac{nR}{n}=\frac{PV}{n}$$

Mā te whakawehe ki te n ka wetekia te whakareanga ki te n.

$$R=\frac{PV}{n}$$

Whakaoti mō P

$$\left\{\begin{matrix}P=\frac{Rn}{V}\text{, }&V\neq 0\\P\in \mathrm{R}\text{, }&\left(n=0\text{ or }R=0\right)\text{ and }V=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

He hanga arowhānui tō te whārite.

$$VP=Rn$$

Whakawehea ngā taha e rua ki te V.

$$\frac{VP}{V}=\frac{Rn}{V}$$

Mā te whakawehe ki te V ka wetekia te whakareanga ki te V.

$$P=\frac{Rn}{V}$$

Whakaoti mō R

$$\left\{\begin{matrix}R=\frac{PV}{n}\text{, }&n\neq 0\\R\in \mathrm{R}\text{, }&\left(P=0\text{ or }V=0\right)\text{ and }n=0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakawhitihia ngā taha kia puta ki te taha mauī ngā kīanga tau taurangi katoa.

$$nR=PV$$

Whakawehea ngā taha e rua ki te n.

$$\frac{nR}{n}=\frac{PV}{n}$$

Mā te whakawehe ki te n ka wetekia te whakareanga ki te n.

$$R=\frac{PV}{n}$$