y=xy eching

$$y=xy$$

x uchun yechish (complex solution)

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$xy=y$$

Tenglama standart shaklda.

$$yx=y$$

Ikki tarafini y ga bo‘ling.

$$\frac{yx}{y}=\frac{y}{y}$$

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

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

y ni y ga bo'lish.

$$x=1$$

y uchun yechish (complex solution)

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan xy ni ayirish.

$$y-xy=0$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

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

0 ni 1-x ga bo'lish.

$$y=0$$

x uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$xy=y$$

Tenglama standart shaklda.

$$yx=y$$

Ikki tarafini y ga bo‘ling.

$$\frac{yx}{y}=\frac{y}{y}$$

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

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

y ni y ga bo'lish.

$$x=1$$

y uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan xy ni ayirish.

$$y-xy=0$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

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

0 ni 1-x ga bo'lish.

$$y=0$$