x=xy eching

$$x=xy$$

x uchun yechish (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=1\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan xy ni ayirish.

$$x-xy=0$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(1-y\right)x=0$$

0 ni 1-y ga bo'lish.

$$x=0$$

y uchun yechish (complex solution)

$$\left\{\begin{matrix}\\y=1\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$xy=x$$

Ikki tarafini x ga bo‘ling.

$$\frac{xy}{x}=\frac{x}{x}$$

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

$$y=\frac{x}{x}$$

x ni x ga bo'lish.

$$y=1$$

x uchun yechish

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=1\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan xy ni ayirish.

$$x-xy=0$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(1-y\right)x=0$$

0 ni 1-y ga bo'lish.

$$x=0$$

y uchun yechish

$$\left\{\begin{matrix}\\y=1\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$xy=x$$

Ikki tarafini x ga bo‘ling.

$$\frac{xy}{x}=\frac{x}{x}$$

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

$$y=\frac{x}{x}$$

x ni x ga bo'lish.

$$y=1$$