P=RT(1-C/Tv^3) eching

$$P = R T ( 1 - C / T v ^ { 3 } )$$

C uchun yechish

$$\left\{\begin{matrix}C=\frac{RT-P}{Rv^{3}}\text{, }&R\neq 0\text{ and }v\neq 0\text{ and }T\neq 0\\C\in \mathrm{R}\text{, }&\left(P=0\text{ and }R=0\text{ and }T\neq 0\right)\text{ or }\left(P=RT\text{ and }v=0\text{ and }T\neq 0\text{ and }R\neq 0\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini T ga ko'paytirish.

$$PT=RT\left(1-\frac{C}{T}v^{3}\right)T$$

T^{2} hosil qilish uchun T va T ni ko'paytirish.

$$PT=RT^{2}\left(1-\frac{C}{T}v^{3}\right)$$

\frac{C}{T}v^{3} ni yagona kasrga aylantiring.

$$PT=RT^{2}\left(1-\frac{Cv^{3}}{T}\right)$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{T}{T} marotabaga ko'paytirish.

$$PT=RT^{2}\left(\frac{T}{T}-\frac{Cv^{3}}{T}\right)$$

\frac{T}{T} va \frac{Cv^{3}}{T} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$PT=RT^{2}\times \frac{T-Cv^{3}}{T}$$

R\times \frac{T-Cv^{3}}{T} ni yagona kasrga aylantiring.

$$PT=\frac{R\left(T-Cv^{3}\right)}{T}T^{2}$$

R ga T-Cv^{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$PT=\frac{RT-RCv^{3}}{T}T^{2}$$

\frac{RT-RCv^{3}}{T}T^{2} ni yagona kasrga aylantiring.

$$PT=\frac{\left(RT-RCv^{3}\right)T^{2}}{T}$$

Surat va maxrajdagi ikkala T ni qisqartiring.

$$PT=T\left(-CRv^{3}+RT\right)$$

T ga -CRv^{3}+RT ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$PT=-TCRv^{3}+RT^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$-TCRv^{3}+RT^{2}=PT$$

Ikkala tarafdan RT^{2} ni ayirish.

$$-TCRv^{3}=PT-RT^{2}$$

Shartlarni qayta saralash.

$$-CRTv^{3}=PT-RT^{2}$$

Tenglama standart shaklda.

$$\left(-RTv^{3}\right)C=PT-RT^{2}$$

Ikki tarafini -RTv^{3} ga bo‘ling.

$$\frac{\left(-RTv^{3}\right)C}{-RTv^{3}}=\frac{T\left(P-RT\right)}{-RTv^{3}}$$

-RTv^{3} ga bo'lish -RTv^{3} ga ko'paytirishni bekor qiladi.

$$C=\frac{T\left(P-RT\right)}{-RTv^{3}}$$

T\left(P-RT\right) ni -RTv^{3} ga bo'lish.

$$C=-\frac{P-RT}{Rv^{3}}$$

P uchun yechish

$$P=R\left(T-Cv^{3}\right)$$

$$T\neq 0$$