C_{p}-C_{r}=R(1+2a/RTV) eching

$$C _ { p } - C _ { r } = R ( 1 + \frac { 2 a } { R T V } )$$

C_p uchun yechish

$$C_{p}=\frac{C_{r}TV+RTV+2a}{TV}$$

$$R\neq 0\text{ and }T\neq 0\text{ and }V\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini RTV ga ko'paytirish.

$$RTVC_{p}-C_{r}RTV=R\left(1+\frac{2a}{RTV}\right)RTV$$

R^{2} hosil qilish uchun R va R ni ko'paytirish.

$$RTVC_{p}-C_{r}RTV=R^{2}\left(1+\frac{2a}{RTV}\right)TV$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{RTV}{RTV} marotabaga ko'paytirish.

$$RTVC_{p}-C_{r}RTV=R^{2}\left(\frac{RTV}{RTV}+\frac{2a}{RTV}\right)TV$$

\frac{RTV}{RTV} va \frac{2a}{RTV} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$RTVC_{p}-C_{r}RTV=R^{2}\times \frac{RTV+2a}{RTV}TV$$

R^{2}\times \frac{RTV+2a}{RTV} ni yagona kasrga aylantiring.

$$RTVC_{p}-C_{r}RTV=\frac{R^{2}\left(RTV+2a\right)}{RTV}TV$$

Surat va maxrajdagi ikkala R ni qisqartiring.

$$RTVC_{p}-C_{r}RTV=\frac{R\left(RTV+2a\right)}{TV}TV$$

\frac{R\left(RTV+2a\right)}{TV}T ni yagona kasrga aylantiring.

$$RTVC_{p}-C_{r}RTV=\frac{R\left(RTV+2a\right)T}{TV}V$$

Surat va maxrajdagi ikkala T ni qisqartiring.

$$RTVC_{p}-C_{r}RTV=\frac{R\left(RTV+2a\right)}{V}V$$

\frac{R\left(RTV+2a\right)}{V}V ni yagona kasrga aylantiring.

$$RTVC_{p}-C_{r}RTV=\frac{R\left(RTV+2a\right)V}{V}$$

Surat va maxrajdagi ikkala V ni qisqartiring.

$$RTVC_{p}-C_{r}RTV=R\left(RTV+2a\right)$$

R ga RTV+2a ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$RTVC_{p}-C_{r}RTV=TVR^{2}+2Ra$$

C_{r}RTV ni ikki tarafga qo’shing.

$$RTVC_{p}=TVR^{2}+2Ra+C_{r}RTV$$

Tenglama standart shaklda.

$$RTVC_{p}=C_{r}RTV+2Ra+TVR^{2}$$

Ikki tarafini RTV ga bo‘ling.

$$\frac{RTVC_{p}}{RTV}=\frac{R\left(C_{r}TV+RTV+2a\right)}{RTV}$$

RTV ga bo'lish RTV ga ko'paytirishni bekor qiladi.

$$C_{p}=\frac{R\left(C_{r}TV+RTV+2a\right)}{RTV}$$

R\left(TVR+2a+C_{r}TV\right) ni RTV ga bo'lish.

$$C_{p}=C_{r}+R+\frac{2a}{TV}$$

C_r uchun yechish

$$C_{r}=\frac{C_{p}TV-RTV-2a}{TV}$$

$$R\neq 0\text{ and }T\neq 0\text{ and }V\neq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini RTV ga ko'paytirish.

$$RTVC_{p}-C_{r}RTV=R\left(1+\frac{2a}{RTV}\right)RTV$$

R^{2} hosil qilish uchun R va R ni ko'paytirish.

$$RTVC_{p}-C_{r}RTV=R^{2}\left(1+\frac{2a}{RTV}\right)TV$$

Ifodalarni qo‘shish yoki ayirish uchun ularni yoyib, maxrajlarini bir xil qiling. 1 ni \frac{RTV}{RTV} marotabaga ko'paytirish.

$$RTVC_{p}-C_{r}RTV=R^{2}\left(\frac{RTV}{RTV}+\frac{2a}{RTV}\right)TV$$

\frac{RTV}{RTV} va \frac{2a}{RTV} da bir xil maxraji bor, ularning suratini qo‘shish orqali qo‘shing.

$$RTVC_{p}-C_{r}RTV=R^{2}\times \frac{RTV+2a}{RTV}TV$$

R^{2}\times \frac{RTV+2a}{RTV} ni yagona kasrga aylantiring.

$$RTVC_{p}-C_{r}RTV=\frac{R^{2}\left(RTV+2a\right)}{RTV}TV$$

Surat va maxrajdagi ikkala R ni qisqartiring.

$$RTVC_{p}-C_{r}RTV=\frac{R\left(RTV+2a\right)}{TV}TV$$

\frac{R\left(RTV+2a\right)}{TV}T ni yagona kasrga aylantiring.

$$RTVC_{p}-C_{r}RTV=\frac{R\left(RTV+2a\right)T}{TV}V$$

Surat va maxrajdagi ikkala T ni qisqartiring.

$$RTVC_{p}-C_{r}RTV=\frac{R\left(RTV+2a\right)}{V}V$$

\frac{R\left(RTV+2a\right)}{V}V ni yagona kasrga aylantiring.

$$RTVC_{p}-C_{r}RTV=\frac{R\left(RTV+2a\right)V}{V}$$

Surat va maxrajdagi ikkala V ni qisqartiring.

$$RTVC_{p}-C_{r}RTV=R\left(RTV+2a\right)$$

R ga RTV+2a ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$RTVC_{p}-C_{r}RTV=TVR^{2}+2Ra$$

Ikkala tarafdan RTVC_{p} ni ayirish.

$$-C_{r}RTV=TVR^{2}+2Ra-RTVC_{p}$$

Shartlarni qayta saralash.

$$-C_{r}RTV=-C_{p}RTV+2Ra+TVR^{2}$$

Tenglama standart shaklda.

$$\left(-RTV\right)C_{r}=TVR^{2}+2Ra-C_{p}RTV$$

Ikki tarafini -RTV ga bo‘ling.

$$\frac{\left(-RTV\right)C_{r}}{-RTV}=\frac{R\left(2a+RTV-C_{p}TV\right)}{-RTV}$$

-RTV ga bo'lish -RTV ga ko'paytirishni bekor qiladi.

$$C_{r}=\frac{R\left(2a+RTV-C_{p}TV\right)}{-RTV}$$

R\left(-C_{p}TV+2a+TVR\right) ni -RTV ga bo'lish.

$$C_{r}=C_{p}-R-\frac{2a}{TV}$$