ax+by=c eching

$$a x + b y = c$$

a uchun yechish (complex solution)

$$\left\{\begin{matrix}a=-\frac{by-c}{x}\text{, }&x\neq 0\\a\in \mathrm{C}\text{, }&c=by\text{ and }x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan by ni ayirish.

$$ax=c-by$$

Tenglama standart shaklda.

$$xa=c-by$$

Ikki tarafini x ga bo‘ling.

$$\frac{xa}{x}=\frac{c-by}{x}$$

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

$$a=\frac{c-by}{x}$$

b uchun yechish (complex solution)

$$\left\{\begin{matrix}b=-\frac{ax-c}{y}\text{, }&y\neq 0\\b\in \mathrm{C}\text{, }&c=ax\text{ and }y=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan ax ni ayirish.

$$by=c-ax$$

Tenglama standart shaklda.

$$yb=c-ax$$

Ikki tarafini y ga bo‘ling.

$$\frac{yb}{y}=\frac{c-ax}{y}$$

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

$$b=\frac{c-ax}{y}$$

a uchun yechish

$$\left\{\begin{matrix}a=-\frac{by-c}{x}\text{, }&x\neq 0\\a\in \mathrm{R}\text{, }&c=by\text{ and }x=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan by ni ayirish.

$$ax=c-by$$

Tenglama standart shaklda.

$$xa=c-by$$

Ikki tarafini x ga bo‘ling.

$$\frac{xa}{x}=\frac{c-by}{x}$$

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

$$a=\frac{c-by}{x}$$

b uchun yechish

$$\left\{\begin{matrix}b=-\frac{ax-c}{y}\text{, }&y\neq 0\\b\in \mathrm{R}\text{, }&c=ax\text{ and }y=0\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan ax ni ayirish.

$$by=c-ax$$

Tenglama standart shaklda.

$$yb=c-ax$$

Ikki tarafini y ga bo‘ling.

$$\frac{yb}{y}=\frac{c-ax}{y}$$

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

$$b=\frac{c-ax}{y}$$