xy=xxy eching

$$x y = x x y$$

y uchun yechish (complex solution)

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$xy=x^{2}y$$

Ikkala tarafdan x^{2}y ni ayirish.

$$xy-x^{2}y=0$$

Shartlarni qayta saralash.

$$xy-yx^{2}=0$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(x-x^{2}\right)y=0$$

0 ni x-x^{2} ga bo'lish.

$$y=0$$

y uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$xy=x^{2}y$$

Ikkala tarafdan x^{2}y ni ayirish.

$$xy-x^{2}y=0$$

Shartlarni qayta saralash.

$$xy-yx^{2}=0$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(x-x^{2}\right)y=0$$

0 ni x-x^{2} ga bo'lish.

$$y=0$$

x uchun yechish (complex solution)

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

x uchun yechish

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