P_{1}V_{1}=P_{2}V_{2} eching

$$P _ { 1 } V _ { 1 } = P _ { 2 } V _ { 2 }$$

P_1 uchun yechish (complex solution)

$$\left\{\begin{matrix}P_{1}=\frac{P_{2}V_{2}}{V_{1}}\text{, }&V_{1}\neq 0\\P_{1}\in \mathrm{C}\text{, }&\left(P_{2}=0\text{ or }V_{2}=0\right)\text{ and }V_{1}=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$V_{1}P_{1}=P_{2}V_{2}$$

Ikki tarafini V_{1} ga bo‘ling.

$$\frac{V_{1}P_{1}}{V_{1}}=\frac{P_{2}V_{2}}{V_{1}}$$

V_{1} ga bo'lish V_{1} ga ko'paytirishni bekor qiladi.

$$P_{1}=\frac{P_{2}V_{2}}{V_{1}}$$

P_2 uchun yechish (complex solution)

$$\left\{\begin{matrix}P_{2}=\frac{P_{1}V_{1}}{V_{2}}\text{, }&V_{2}\neq 0\\P_{2}\in \mathrm{C}\text{, }&\left(P_{1}=0\text{ or }V_{1}=0\right)\text{ and }V_{2}=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$P_{2}V_{2}=P_{1}V_{1}$$

Tenglama standart shaklda.

$$V_{2}P_{2}=P_{1}V_{1}$$

Ikki tarafini V_{2} ga bo‘ling.

$$\frac{V_{2}P_{2}}{V_{2}}=\frac{P_{1}V_{1}}{V_{2}}$$

V_{2} ga bo'lish V_{2} ga ko'paytirishni bekor qiladi.

$$P_{2}=\frac{P_{1}V_{1}}{V_{2}}$$

P_1 uchun yechish

$$\left\{\begin{matrix}P_{1}=\frac{P_{2}V_{2}}{V_{1}}\text{, }&V_{1}\neq 0\\P_{1}\in \mathrm{R}\text{, }&\left(P_{2}=0\text{ or }V_{2}=0\right)\text{ and }V_{1}=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$V_{1}P_{1}=P_{2}V_{2}$$

Ikki tarafini V_{1} ga bo‘ling.

$$\frac{V_{1}P_{1}}{V_{1}}=\frac{P_{2}V_{2}}{V_{1}}$$

V_{1} ga bo'lish V_{1} ga ko'paytirishni bekor qiladi.

$$P_{1}=\frac{P_{2}V_{2}}{V_{1}}$$

P_2 uchun yechish

$$\left\{\begin{matrix}P_{2}=\frac{P_{1}V_{1}}{V_{2}}\text{, }&V_{2}\neq 0\\P_{2}\in \mathrm{R}\text{, }&\left(P_{1}=0\text{ or }V_{1}=0\right)\text{ and }V_{2}=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$P_{2}V_{2}=P_{1}V_{1}$$

Tenglama standart shaklda.

$$V_{2}P_{2}=P_{1}V_{1}$$

Ikki tarafini V_{2} ga bo‘ling.

$$\frac{V_{2}P_{2}}{V_{2}}=\frac{P_{1}V_{1}}{V_{2}}$$

V_{2} ga bo'lish V_{2} ga ko'paytirishni bekor qiladi.

$$P_{2}=\frac{P_{1}V_{1}}{V_{2}}$$