yx-z-4x=3 eching

$$yx-z-4x=3$$

x uchun yechish (complex solution)

$$\left\{\begin{matrix}x=\frac{z+3}{y-4}\text{, }&y\neq 4\\x\in \mathrm{C}\text{, }&z=-3\text{ and }y=4\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

z ni ikki tarafga qo’shing.

$$yx-4x=3+z$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(y-4\right)x=3+z$$

Tenglama standart shaklda.

$$\left(y-4\right)x=z+3$$

Ikki tarafini y-4 ga bo‘ling.

$$\frac{\left(y-4\right)x}{y-4}=\frac{z+3}{y-4}$$

y-4 ga bo'lish y-4 ga ko'paytirishni bekor qiladi.

$$x=\frac{z+3}{y-4}$$

y uchun yechish (complex solution)

$$\left\{\begin{matrix}y=\frac{4x+z+3}{x}\text{, }&x\neq 0\\y\in \mathrm{C}\text{, }&x=0\text{ and }z=-3\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

z ni ikki tarafga qo’shing.

$$yx-4x=3+z$$

4x ni ikki tarafga qo’shing.

$$yx=3+z+4x$$

Tenglama standart shaklda.

$$xy=4x+z+3$$

Ikki tarafini x ga bo‘ling.

$$\frac{xy}{x}=\frac{4x+z+3}{x}$$

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

$$y=\frac{4x+z+3}{x}$$

x uchun yechish

$$\left\{\begin{matrix}x=\frac{z+3}{y-4}\text{, }&y\neq 4\\x\in \mathrm{R}\text{, }&z=-3\text{ and }y=4\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

z ni ikki tarafga qo’shing.

$$yx-4x=3+z$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(y-4\right)x=3+z$$

Tenglama standart shaklda.

$$\left(y-4\right)x=z+3$$

Ikki tarafini y-4 ga bo‘ling.

$$\frac{\left(y-4\right)x}{y-4}=\frac{z+3}{y-4}$$

y-4 ga bo'lish y-4 ga ko'paytirishni bekor qiladi.

$$x=\frac{z+3}{y-4}$$

y uchun yechish

$$\left\{\begin{matrix}y=\frac{4x+z+3}{x}\text{, }&x\neq 0\\y\in \mathrm{R}\text{, }&x=0\text{ and }z=-3\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

z ni ikki tarafga qo’shing.

$$yx-4x=3+z$$

4x ni ikki tarafga qo’shing.

$$yx=3+z+4x$$

Tenglama standart shaklda.

$$xy=4x+z+3$$

Ikki tarafini x ga bo‘ling.

$$\frac{xy}{x}=\frac{4x+z+3}{x}$$

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

$$y=\frac{4x+z+3}{x}$$