V_{s}=frac{P_{m}V_{m}T_{s}}{P_{s}T_{m}} eching

$$V _ { s } = \frac { P _ { m } V _ { m } T _ { s } } { P _ { s } T _ { m } }$$

P_m uchun yechish (complex solution)

$$\left\{\begin{matrix}P_{m}=\frac{P_{s}T_{m}V_{s}}{T_{s}V_{m}}\text{, }&T_{s}\neq 0\text{ and }V_{m}\neq 0\text{ and }P_{s}\neq 0\text{ and }T_{m}\neq 0\\P_{m}\in \mathrm{C}\text{, }&\left(T_{s}=0\text{ or }V_{m}=0\right)\text{ and }V_{s}=0\text{ and }P_{s}\neq 0\text{ and }T_{m}\neq 0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini P_{s}T_{m} ga ko'paytirish.

$$V_{s}P_{s}T_{m}=P_{m}V_{m}T_{s}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$P_{m}V_{m}T_{s}=V_{s}P_{s}T_{m}$$

Tenglama standart shaklda.

$$T_{s}V_{m}P_{m}=P_{s}T_{m}V_{s}$$

Ikki tarafini V_{m}T_{s} ga bo‘ling.

$$\frac{T_{s}V_{m}P_{m}}{T_{s}V_{m}}=\frac{P_{s}T_{m}V_{s}}{T_{s}V_{m}}$$

V_{m}T_{s} ga bo'lish V_{m}T_{s} ga ko'paytirishni bekor qiladi.

$$P_{m}=\frac{P_{s}T_{m}V_{s}}{T_{s}V_{m}}$$

P_m uchun yechish

$$\left\{\begin{matrix}P_{m}=\frac{P_{s}T_{m}V_{s}}{T_{s}V_{m}}\text{, }&T_{s}\neq 0\text{ and }V_{m}\neq 0\text{ and }P_{s}\neq 0\text{ and }T_{m}\neq 0\\P_{m}\in \mathrm{R}\text{, }&\left(T_{s}=0\text{ or }V_{m}=0\right)\text{ and }V_{s}=0\text{ and }P_{s}\neq 0\text{ and }T_{m}\neq 0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglamaning ikkala tarafini P_{s}T_{m} ga ko'paytirish.

$$V_{s}P_{s}T_{m}=P_{m}V_{m}T_{s}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$P_{m}V_{m}T_{s}=V_{s}P_{s}T_{m}$$

Tenglama standart shaklda.

$$T_{s}V_{m}P_{m}=P_{s}T_{m}V_{s}$$

Ikki tarafini V_{m}T_{s} ga bo‘ling.

$$\frac{T_{s}V_{m}P_{m}}{T_{s}V_{m}}=\frac{P_{s}T_{m}V_{s}}{T_{s}V_{m}}$$

V_{m}T_{s} ga bo'lish V_{m}T_{s} ga ko'paytirishni bekor qiladi.

$$P_{m}=\frac{P_{s}T_{m}V_{s}}{T_{s}V_{m}}$$

P_s uchun yechish

$$\left\{\begin{matrix}P_{s}=\frac{P_{m}T_{s}V_{m}}{T_{m}V_{s}}\text{, }&T_{s}\neq 0\text{ and }V_{m}\neq 0\text{ and }P_{m}\neq 0\text{ and }T_{m}\neq 0\text{ and }V_{s}\neq 0\\P_{s}\neq 0\text{, }&\left(T_{s}=0\text{ or }V_{m}=0\text{ or }P_{m}=0\right)\text{ and }V_{s}=0\text{ and }T_{m}\neq 0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

P_{s} qiymati 0 teng bo‘lmaydi, chunki nolga bo‘lish mumkin emas. Tenglamaning ikkala tarafini P_{s}T_{m} ga ko'paytirish.

$$V_{s}P_{s}T_{m}=P_{m}V_{m}T_{s}$$

Shartlarni qayta saralash.

$$P_{s}T_{m}V_{s}=P_{m}T_{s}V_{m}$$

Tenglama standart shaklda.

$$T_{m}V_{s}P_{s}=P_{m}T_{s}V_{m}$$

Ikki tarafini V_{s}T_{m} ga bo‘ling.

$$\frac{T_{m}V_{s}P_{s}}{T_{m}V_{s}}=\frac{P_{m}T_{s}V_{m}}{T_{m}V_{s}}$$

V_{s}T_{m} ga bo'lish V_{s}T_{m} ga ko'paytirishni bekor qiladi.

$$P_{s}=\frac{P_{m}T_{s}V_{m}}{T_{m}V_{s}}$$

P_{s} qiymati 0 teng bo‘lmaydi.

$$P_{s}=\frac{P_{m}T_{s}V_{m}}{T_{m}V_{s}}\text{, }P_{s}\neq 0$$