operatorname{gcd}(9872)=98x+72y*9 eching

$$\operatorname { gcd } ( 9872 ) = 98 x + 72 y \cdot 9$$

c uchun yechish (complex solution)

$$\left\{\begin{matrix}c=\frac{49x+324y}{4936dg}\text{, }&d\neq 0\text{ and }g\neq 0\\c\in \mathrm{C}\text{, }&x=-\frac{324y}{49}\text{ and }\left(d=0\text{ or }g=0\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

648 hosil qilish uchun 72 va 9 ni ko'paytirish.

$$gcd\times 9872=98x+648y$$

Tenglama standart shaklda.

$$9872dgc=98x+648y$$

Ikki tarafini 9872gd ga bo‘ling.

$$\frac{9872dgc}{9872dg}=\frac{98x+648y}{9872dg}$$

9872gd ga bo'lish 9872gd ga ko'paytirishni bekor qiladi.

$$c=\frac{98x+648y}{9872dg}$$

98x+648y ni 9872gd ga bo'lish.

$$c=\frac{49x+324y}{4936dg}$$

d uchun yechish (complex solution)

$$\left\{\begin{matrix}d=\frac{49x+324y}{4936cg}\text{, }&c\neq 0\text{ and }g\neq 0\\d\in \mathrm{C}\text{, }&x=-\frac{324y}{49}\text{ and }\left(c=0\text{ or }g=0\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

648 hosil qilish uchun 72 va 9 ni ko'paytirish.

$$gcd\times 9872=98x+648y$$

Tenglama standart shaklda.

$$9872cgd=98x+648y$$

Ikki tarafini 9872gc ga bo‘ling.

$$\frac{9872cgd}{9872cg}=\frac{98x+648y}{9872cg}$$

9872gc ga bo'lish 9872gc ga ko'paytirishni bekor qiladi.

$$d=\frac{98x+648y}{9872cg}$$

98x+648y ni 9872gc ga bo'lish.

$$d=\frac{49x+324y}{4936cg}$$

c uchun yechish

$$\left\{\begin{matrix}c=\frac{49x+324y}{4936dg}\text{, }&d\neq 0\text{ and }g\neq 0\\c\in \mathrm{R}\text{, }&x=-\frac{324y}{49}\text{ and }\left(d=0\text{ or }g=0\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

648 hosil qilish uchun 72 va 9 ni ko'paytirish.

$$gcd\times 9872=98x+648y$$

Tenglama standart shaklda.

$$9872dgc=98x+648y$$

Ikki tarafini 9872gd ga bo‘ling.

$$\frac{9872dgc}{9872dg}=\frac{98x+648y}{9872dg}$$

9872gd ga bo'lish 9872gd ga ko'paytirishni bekor qiladi.

$$c=\frac{98x+648y}{9872dg}$$

98x+648y ni 9872gd ga bo'lish.

$$c=\frac{49x+324y}{4936dg}$$

d uchun yechish

$$\left\{\begin{matrix}d=\frac{49x+324y}{4936cg}\text{, }&c\neq 0\text{ and }g\neq 0\\d\in \mathrm{R}\text{, }&x=-\frac{324y}{49}\text{ and }\left(c=0\text{ or }g=0\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

648 hosil qilish uchun 72 va 9 ni ko'paytirish.

$$gcd\times 9872=98x+648y$$

Tenglama standart shaklda.

$$9872cgd=98x+648y$$

Ikki tarafini 9872gc ga bo‘ling.

$$\frac{9872cgd}{9872cg}=\frac{98x+648y}{9872cg}$$

9872gc ga bo'lish 9872gc ga ko'paytirishni bekor qiladi.

$$d=\frac{98x+648y}{9872cg}$$

98x+648y ni 9872gc ga bo'lish.

$$d=\frac{49x+324y}{4936cg}$$