4x=5y+zx eching

$$4x=5y+zx$$

x uchun yechish (complex solution)

$$\left\{\begin{matrix}x=\frac{5y}{4-z}\text{, }&z\neq 4\\x\in \mathrm{C}\text{, }&y=0\text{ and }z=4\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan zx ni ayirish.

$$4x-zx=5y$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(4-z\right)x=5y$$

Ikki tarafini -z+4 ga bo‘ling.

$$\frac{\left(4-z\right)x}{4-z}=\frac{5y}{4-z}$$

-z+4 ga bo'lish -z+4 ga ko'paytirishni bekor qiladi.

$$x=\frac{5y}{4-z}$$

x uchun yechish

$$\left\{\begin{matrix}x=\frac{5y}{4-z}\text{, }&z\neq 4\\x\in \mathrm{R}\text{, }&y=0\text{ and }z=4\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan zx ni ayirish.

$$4x-zx=5y$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(4-z\right)x=5y$$

Ikki tarafini -z+4 ga bo‘ling.

$$\frac{\left(4-z\right)x}{4-z}=\frac{5y}{4-z}$$

-z+4 ga bo'lish -z+4 ga ko'paytirishni bekor qiladi.

$$x=\frac{5y}{4-z}$$

y uchun yechish

$$y=-\frac{x\left(z-4\right)}{5}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$5y+zx=4x$$

Ikkala tarafdan zx ni ayirish.

$$5y=4x-zx$$

Tenglama standart shaklda.

$$5y=4x-xz$$

Ikki tarafini 5 ga bo‘ling.

$$\frac{5y}{5}=\frac{x\left(4-z\right)}{5}$$

5 ga bo'lish 5 ga ko'paytirishni bekor qiladi.

$$y=\frac{x\left(4-z\right)}{5}$$

x\left(4-z\right) ni 5 ga bo'lish.

$$y=\frac{4x-xz}{5}$$