Whakaoti i te -103847=3*[-393546+60433*(T-298)]+4*[-241845+51143*(T-298)]

$$- 103847 = 3 \times [ - 393546 + 60433 \times ( T - 298 ) ] + 4 \times [ - 241845 + 51143 \times ( T - 298 ) ]$$

Whakaoti mō T

$$T = \frac{5088423}{16777} = 303\frac{4992}{16777} \approx 303.297550218$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Whakamahia te āhuatanga tohatoha hei whakarea te 60433 ki te T-298.

$$-103847=3\left(-393546+60433T-18009034\right)+4\left(-241845+51143\left(T-298\right)\right)$$

Tangohia te 18009034 i te -393546, ka -18402580.

$$-103847=3\left(-18402580+60433T\right)+4\left(-241845+51143\left(T-298\right)\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 3 ki te -18402580+60433T.

$$-103847=-55207740+181299T+4\left(-241845+51143\left(T-298\right)\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 51143 ki te T-298.

$$-103847=-55207740+181299T+4\left(-241845+51143T-15240614\right)$$

Tangohia te 15240614 i te -241845, ka -15482459.

$$-103847=-55207740+181299T+4\left(-15482459+51143T\right)$$

Whakamahia te āhuatanga tohatoha hei whakarea te 4 ki te -15482459+51143T.

$$-103847=-55207740+181299T-61929836+204572T$$

Tangohia te 61929836 i te -55207740, ka -117137576.

$$-103847=-117137576+181299T+204572T$$

Pahekotia te 181299T me 204572T, ka 385871T.

$$-103847=-117137576+385871T$$

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

$$-117137576+385871T=-103847$$

Me tāpiri te 117137576 ki ngā taha e rua.

$$385871T=-103847+117137576$$

Tāpirihia te -103847 ki te 117137576, ka 117033729.

$$385871T=117033729$$

Whakawehea ngā taha e rua ki te 385871.

$$T=\frac{117033729}{385871}$$

Whakahekea te hautanga \frac{117033729}{385871} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 23.

$$T=\frac{5088423}{16777}$$