Whakaoti i te 76-h/t+213=77-h/T+273

$$\frac { 76 - h } { t + 213 } = \frac { 77 - h } { T + 273 }$$

Whakaoti mō T

$$T=-\frac{ht-77t-60h+4347}{76-h}$$

$$t\neq -213\text{ and }h\neq 77\text{ and }h\neq 76$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Tē taea kia ōrite te tāupe T ki -273 nā te kore tautuhi i te whakawehenga mā te kore. Me whakarea ngā taha e rua o te whārite ki te \left(T+273\right)\left(t+213\right), arā, te tauraro pātahi he tino iti rawa te kitea o t+213,T+273.

$$\left(T+273\right)\left(76-h\right)=\left(t+213\right)\left(77-h\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te T+273 ki te 76-h.

$$76T-Th+20748-273h=\left(t+213\right)\left(77-h\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te t+213 ki te 77-h.

$$76T-Th+20748-273h=77t-th+16401-213h$$

Tangohia te 20748 mai i ngā taha e rua.

$$76T-Th-273h=77t-th+16401-213h-20748$$

Tangohia te 20748 i te 16401, ka -4347.

$$76T-Th-273h=77t-th-4347-213h$$

Me tāpiri te 273h ki ngā taha e rua.

$$76T-Th=77t-th-4347-213h+273h$$

Pahekotia te -213h me 273h, ka 60h.

$$76T-Th=77t-th-4347+60h$$

Pahekotia ngā kīanga tau katoa e whai ana i te T.

$$\left(76-h\right)T=77t-th-4347+60h$$

He hanga arowhānui tō te whārite.

$$\left(76-h\right)T=-ht+77t+60h-4347$$

Whakawehea ngā taha e rua ki te 76-h.

$$\frac{\left(76-h\right)T}{76-h}=\frac{-ht+77t+60h-4347}{76-h}$$

Mā te whakawehe ki te 76-h ka wetekia te whakareanga ki te 76-h.

$$T=\frac{-ht+77t+60h-4347}{76-h}$$

Tē taea kia ōrite te tāupe T ki -273.

$$T=\frac{-ht+77t+60h-4347}{76-h}\text{, }T\neq -273$$

Whakaoti mō h

$$h=-\frac{4347+76T-77t}{t-T-60}$$

$$t\neq T+60\text{ and }t\neq -213\text{ and }T\neq -273$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te \left(T+273\right)\left(t+213\right), arā, te tauraro pātahi he tino iti rawa te kitea o t+213,T+273.

$$\left(T+273\right)\left(76-h\right)=\left(t+213\right)\left(77-h\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te T+273 ki te 76-h.

$$76T-Th+20748-273h=\left(t+213\right)\left(77-h\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te t+213 ki te 77-h.

$$76T-Th+20748-273h=77t-th+16401-213h$$

Me tāpiri te th ki ngā taha e rua.

$$76T-Th+20748-273h+th=77t+16401-213h$$

Me tāpiri te 213h ki ngā taha e rua.

$$76T-Th+20748-273h+th+213h=77t+16401$$

Pahekotia te -273h me 213h, ka -60h.

$$76T-Th+20748-60h+th=77t+16401$$

Tangohia te 76T mai i ngā taha e rua.

$$-Th+20748-60h+th=77t+16401-76T$$

Tangohia te 20748 mai i ngā taha e rua.

$$-Th-60h+th=77t+16401-76T-20748$$

Tangohia te 20748 i te 16401, ka -4347.

$$-Th-60h+th=77t-4347-76T$$

Pahekotia ngā kīanga tau katoa e whai ana i te h.

$$\left(-T-60+t\right)h=77t-4347-76T$$

He hanga arowhānui tō te whārite.

$$\left(t-T-60\right)h=77t-76T-4347$$

Whakawehea ngā taha e rua ki te t-T-60.

$$\frac{\left(t-T-60\right)h}{t-T-60}=\frac{77t-76T-4347}{t-T-60}$$

Mā te whakawehe ki te t-T-60 ka wetekia te whakareanga ki te t-T-60.

$$h=\frac{77t-76T-4347}{t-T-60}$$