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

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

Atrast c

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

Lineāra vienādojuma risināšanas darbības

Reiziniet 72 un 9, lai iegūtu 648.

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

Vienādojums ir standarta formā.

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

Daliet abas puses ar 9872gd.

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

Dalīšana ar 9872gd atsauc reizināšanu ar 9872gd.

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

Daliet 98x+648y ar 9872gd.

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

Atrast d

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

Lineāra vienādojuma risināšanas darbības

Reiziniet 72 un 9, lai iegūtu 648.

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

Vienādojums ir standarta formā.

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

Daliet abas puses ar 9872gc.

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

Dalīšana ar 9872gc atsauc reizināšanu ar 9872gc.

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

Daliet 98x+648y ar 9872gc.

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