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

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

T uchun yechish

$$T = \frac{5088423}{16777} = 303\frac{4992}{16777} \approx 303,297550218$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

60433 ga T-298 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

-18402580 olish uchun -393546 dan 18009034 ni ayirish.

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

3 ga -18402580+60433T ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

51143 ga T-298 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

-15482459 olish uchun -241845 dan 15240614 ni ayirish.

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

4 ga -15482459+51143T ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

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

-117137576 olish uchun -55207740 dan 61929836 ni ayirish.

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

385871T ni olish uchun 181299T va 204572T ni birlashtirish.

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

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

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

117137576 ni ikki tarafga qo’shing.

$$385871T=-103847+117137576$$

117033729 olish uchun -103847 va 117137576'ni qo'shing.

$$385871T=117033729$$

Ikki tarafini 385871 ga bo‘ling.

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

\frac{117033729}{385871} ulushini 23 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

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