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

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

Solve for c

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

Steps for Solving Linear Equation

Multiply 72 and 9 to get 648.

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

The equation is in standard form.

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

Divide both sides by 9872gd.

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

Dividing by 9872gd undoes the multiplication by 9872gd.

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

Divide 98x+648y by 9872gd.

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

Solve for d

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

Steps for Solving Linear Equation

Multiply 72 and 9 to get 648.

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

The equation is in standard form.

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

Divide both sides by 9872gc.

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

Dividing by 9872gc undoes the multiplication by 9872gc.

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

Divide 98x+648y by 9872gc.

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