Whakaoti i te frac{V_{1}}{T_{1}}=frac{V_{2}}{T_{2}}

$$\frac { V _ { 1 } } { T _ { 1 } } = \frac { V _ { 2 } } { T _ { 2 } }$$

Whakaoti mō T_1

$$\left\{\begin{matrix}T_{1}=\frac{T_{2}V_{1}}{V_{2}}\text{, }&T_{2}\neq 0\text{ and }V_{1}\neq 0\text{ and }V_{2}\neq 0\\T_{1}\neq 0\text{, }&V_{2}=0\text{ and }V_{1}=0\text{ and }T_{2}\neq 0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe T_{1} ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te T_{1}T_{2}, arā, te tauraro pātahi he tino iti rawa te kitea o T_{1},T_{2}.

$$T_{2}V_{1}=T_{1}V_{2}$$

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

$$T_{1}V_{2}=T_{2}V_{1}$$

He hanga arowhānui tō te whārite.

$$V_{2}T_{1}=T_{2}V_{1}$$

Whakawehea ngā taha e rua ki te V_{2}.

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

Mā te whakawehe ki te V_{2} ka wetekia te whakareanga ki te V_{2}.

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

Tē taea kia ōrite te tāupe T_{1} ki 0.

$$T_{1}=\frac{T_{2}V_{1}}{V_{2}}\text{, }T_{1}\neq 0$$

Whakaoti mō T_2

$$\left\{\begin{matrix}T_{2}=\frac{T_{1}V_{2}}{V_{1}}\text{, }&V_{2}\neq 0\text{ and }T_{1}\neq 0\text{ and }V_{1}\neq 0\\T_{2}\neq 0\text{, }&V_{1}=0\text{ and }V_{2}=0\text{ and }T_{1}\neq 0\end{matrix}\right.$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe T_{2} ki 0 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te T_{1}T_{2}, arā, te tauraro pātahi he tino iti rawa te kitea o T_{1},T_{2}.

$$T_{2}V_{1}=T_{1}V_{2}$$

He hanga arowhānui tō te whārite.

$$V_{1}T_{2}=T_{1}V_{2}$$

Whakawehea ngā taha e rua ki te V_{1}.

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

Mā te whakawehe ki te V_{1} ka wetekia te whakareanga ki te V_{1}.

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

Tē taea kia ōrite te tāupe T_{2} ki 0.

$$T_{2}=\frac{T_{1}V_{2}}{V_{1}}\text{, }T_{2}\neq 0$$