kx=my-mx eching

$$k x = m y - m x$$

k uchun yechish (complex solution)

$$\left\{\begin{matrix}k=\frac{m\left(y-x\right)}{x}\text{, }&x\neq 0\\k\in \mathrm{C}\text{, }&\left(m=0\text{ or }y=0\right)\text{ and }x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$xk=my-mx$$

Ikki tarafini x ga bo‘ling.

$$\frac{xk}{x}=\frac{m\left(y-x\right)}{x}$$

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

$$k=\frac{m\left(y-x\right)}{x}$$

m uchun yechish (complex solution)

$$\left\{\begin{matrix}m=-\frac{kx}{x-y}\text{, }&x\neq y\\m\in \mathrm{C}\text{, }&\left(k=0\text{ and }x=y\right)\text{ or }\left(x=0\text{ and }y=0\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$my-mx=kx$$

m'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(y-x\right)m=kx$$

Ikki tarafini y-x ga bo‘ling.

$$\frac{\left(y-x\right)m}{y-x}=\frac{kx}{y-x}$$

y-x ga bo'lish y-x ga ko'paytirishni bekor qiladi.

$$m=\frac{kx}{y-x}$$

k uchun yechish

$$\left\{\begin{matrix}k=\frac{m\left(y-x\right)}{x}\text{, }&x\neq 0\\k\in \mathrm{R}\text{, }&\left(m=0\text{ or }y=0\right)\text{ and }x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$xk=my-mx$$

Ikki tarafini x ga bo‘ling.

$$\frac{xk}{x}=\frac{m\left(y-x\right)}{x}$$

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

$$k=\frac{m\left(y-x\right)}{x}$$

m uchun yechish

$$\left\{\begin{matrix}m=-\frac{kx}{x-y}\text{, }&x\neq y\\m\in \mathrm{R}\text{, }&\left(k=0\text{ and }x=y\right)\text{ or }\left(x=0\text{ and }y=0\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$my-mx=kx$$

m'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(y-x\right)m=kx$$

Ikki tarafini y-x ga bo‘ling.

$$\frac{\left(y-x\right)m}{y-x}=\frac{kx}{y-x}$$

y-x ga bo'lish y-x ga ko'paytirishni bekor qiladi.

$$m=\frac{kx}{y-x}$$