xyz=yz eching

$$xyz=yz$$

x uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tenglama standart shaklda.

$$yzx=yz$$

Ikki tarafini yz ga bo‘ling.

$$\frac{yzx}{yz}=\frac{yz}{yz}$$

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

$$x=\frac{yz}{yz}$$

yz ni yz ga bo'lish.

$$x=1$$

y uchun yechish

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

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan yz ni ayirish.

$$xyz-yz=0$$

y'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(xz-z\right)y=0$$

0 ni xz-z ga bo'lish.

$$y=0$$