32x=(x+3x)y eching

$$32x=(x+3x)y$$

x uchun yechish (complex solution)

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{C}\text{, }&y=8\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

4x ni olish uchun x va 3x ni birlashtirish.

$$32x=4xy$$

Ikkala tarafdan 4xy ni ayirish.

$$32x-4xy=0$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(32-4y\right)x=0$$

0 ni 32-4y ga bo'lish.

$$x=0$$

y uchun yechish (complex solution)

$$\left\{\begin{matrix}\\y=8\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

4x ni olish uchun x va 3x ni birlashtirish.

$$32x=4xy$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$4xy=32x$$

Ikki tarafini 4x ga bo‘ling.

$$\frac{4xy}{4x}=\frac{32x}{4x}$$

4x ga bo'lish 4x ga ko'paytirishni bekor qiladi.

$$y=\frac{32x}{4x}$$

32x ni 4x ga bo'lish.

$$y=8$$

x uchun yechish

$$\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x\in \mathrm{R}\text{, }&y=8\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

4x ni olish uchun x va 3x ni birlashtirish.

$$32x=4xy$$

Ikkala tarafdan 4xy ni ayirish.

$$32x-4xy=0$$

x'ga ega bo'lgan barcha shartlarni birlashtirish.

$$\left(32-4y\right)x=0$$

0 ni 32-4y ga bo'lish.

$$x=0$$

y uchun yechish

$$\left\{\begin{matrix}\\y=8\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

4x ni olish uchun x va 3x ni birlashtirish.

$$32x=4xy$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$4xy=32x$$

Ikki tarafini 4x ga bo‘ling.

$$\frac{4xy}{4x}=\frac{32x}{4x}$$

4x ga bo'lish 4x ga ko'paytirishni bekor qiladi.

$$y=\frac{32x}{4x}$$

32x ni 4x ga bo'lish.

$$y=8$$