140=19[1+45*10^-3(T-200)] eching

$$140 = 19 [ 1 + 45 \times 10 ^ { - 3 } ( T - 200 ) ]$$

T uchun yechish

$$T = \frac{58400}{171} = 341\frac{89}{171} \approx 341,520467836$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikki tarafini 19 ga bo‘ling.

$$\frac{140}{19}=1+45\times 10^{-3}\left(T-200\right)$$

-3 daraja ko‘rsatkichini 10 ga hisoblang va \frac{1}{1000} ni qiymatni oling.

$$\frac{140}{19}=1+45\times \frac{1}{1000}\left(T-200\right)$$

\frac{9}{200} hosil qilish uchun 45 va \frac{1}{1000} ni ko'paytirish.

$$\frac{140}{19}=1+\frac{9}{200}\left(T-200\right)$$

\frac{9}{200} ga T-200 ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{140}{19}=1+\frac{9}{200}T-9$$

-8 olish uchun 1 dan 9 ni ayirish.

$$\frac{140}{19}=-8+\frac{9}{200}T$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$-8+\frac{9}{200}T=\frac{140}{19}$$

8 ni ikki tarafga qo’shing.

$$\frac{9}{200}T=\frac{140}{19}+8$$

\frac{292}{19} olish uchun \frac{140}{19} va 8'ni qo'shing.

$$\frac{9}{200}T=\frac{292}{19}$$

Ikki tarafini \frac{200}{9} va teskari kasri \frac{9}{200} ga ko‘paytiring.

$$T=\frac{292}{19}\times \frac{200}{9}$$

\frac{58400}{171} hosil qilish uchun \frac{292}{19} va \frac{200}{9} ni ko'paytirish.

$$T=\frac{58400}{171}$$