operatorname{gcd}(98.72)=98x+72y*9 eching

$$\operatorname { gcd } ( 98.72 ) = 98 x + 72 y \cdot 9$$

c uchun yechish (complex solution)

$$\left\{\begin{matrix}c=\frac{25\left(49x+324y\right)}{1234dg}\text{, }&d\neq 0\text{ and }g\neq 0\\c\in \mathrm{C}\text{, }&x=-\frac{324y}{49}\text{ and }\left(d=0\text{ or }g=0\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$gcd\times 98,72=98x+648y$$

Tenglama standart shaklda.

$$\frac{2468dg}{25}c=98x+648y$$

Ikki tarafini 98,72gd ga bo‘ling.

$$\frac{25\times \frac{2468dg}{25}c}{2468dg}=\frac{25\left(98x+648y\right)}{2468dg}$$

98,72gd ga bo'lish 98,72gd ga ko'paytirishni bekor qiladi.

$$c=\frac{25\left(98x+648y\right)}{2468dg}$$

98x+648y ni 98,72gd ga bo'lish.

$$c=\frac{25\left(49x+324y\right)}{1234dg}$$

d uchun yechish (complex solution)

$$\left\{\begin{matrix}d=\frac{25\left(49x+324y\right)}{1234cg}\text{, }&c\neq 0\text{ and }g\neq 0\\d\in \mathrm{C}\text{, }&x=-\frac{324y}{49}\text{ and }\left(c=0\text{ or }g=0\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$gcd\times 98,72=98x+648y$$

Tenglama standart shaklda.

$$\frac{2468cg}{25}d=98x+648y$$

Ikki tarafini 98,72gc ga bo‘ling.

$$\frac{25\times \frac{2468cg}{25}d}{2468cg}=\frac{25\left(98x+648y\right)}{2468cg}$$

98,72gc ga bo'lish 98,72gc ga ko'paytirishni bekor qiladi.

$$d=\frac{25\left(98x+648y\right)}{2468cg}$$

98x+648y ni 98,72gc ga bo'lish.

$$d=\frac{25\left(49x+324y\right)}{1234cg}$$

c uchun yechish

$$\left\{\begin{matrix}c=\frac{25\left(49x+324y\right)}{1234dg}\text{, }&d\neq 0\text{ and }g\neq 0\\c\in \mathrm{R}\text{, }&x=-\frac{324y}{49}\text{ and }\left(d=0\text{ or }g=0\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$gcd\times 98,72=98x+648y$$

Tenglama standart shaklda.

$$\frac{2468dg}{25}c=98x+648y$$

Ikki tarafini 98,72gd ga bo‘ling.

$$\frac{25\times \frac{2468dg}{25}c}{2468dg}=\frac{25\left(98x+648y\right)}{2468dg}$$

98,72gd ga bo'lish 98,72gd ga ko'paytirishni bekor qiladi.

$$c=\frac{25\left(98x+648y\right)}{2468dg}$$

98x+648y ni 98,72gd ga bo'lish.

$$c=\frac{25\left(49x+324y\right)}{1234dg}$$

d uchun yechish

$$\left\{\begin{matrix}d=\frac{25\left(49x+324y\right)}{1234cg}\text{, }&c\neq 0\text{ and }g\neq 0\\d\in \mathrm{R}\text{, }&x=-\frac{324y}{49}\text{ and }\left(c=0\text{ or }g=0\right)\end{matrix}\right,$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$gcd\times 98,72=98x+648y$$

Tenglama standart shaklda.

$$\frac{2468cg}{25}d=98x+648y$$

Ikki tarafini 98,72gc ga bo‘ling.

$$\frac{25\times \frac{2468cg}{25}d}{2468cg}=\frac{25\left(98x+648y\right)}{2468cg}$$

98,72gc ga bo'lish 98,72gc ga ko'paytirishni bekor qiladi.

$$d=\frac{25\left(98x+648y\right)}{2468cg}$$

98x+648y ni 98,72gc ga bo'lish.

$$d=\frac{25\left(49x+324y\right)}{1234cg}$$