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

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

Datrys ar gyfer T

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

Camau ar gyfer Datrys Hafaliad Llinol

Defnyddio’r briodwedd ddosbarthu i luosi 60433 â T-298.

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

Tynnu 18009034 o -393546 i gael -18402580.

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

Defnyddio’r briodwedd ddosbarthu i luosi 3 â -18402580+60433T.

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

Defnyddio’r briodwedd ddosbarthu i luosi 51143 â T-298.

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

Tynnu 15240614 o -241845 i gael -15482459.

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

Defnyddio’r briodwedd ddosbarthu i luosi 4 â -15482459+51143T.

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

Tynnu 61929836 o -55207740 i gael -117137576.

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

Cyfuno 181299T a 204572T i gael 385871T.

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

Cyfnewidiwch yr ochrau fel bod yr holl dermau newidiol ar yr ochr chwith.

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

Ychwanegu 117137576 at y ddwy ochr.

$$385871T=-103847+117137576$$

Adio -103847 a 117137576 i gael 117033729.

$$385871T=117033729$$

Rhannu’r ddwy ochr â 385871.

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

Lleihau'r ffracsiwn \frac{117033729}{385871} i'r graddau lleiaf posib drwy dynnu a chanslo allan 23.

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