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

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

Solve for c

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

Steps for Solving Linear Equation

Multiply 72 and 9 to get 648.

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

The equation is in standard form.

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

Divide both sides by 98,72gd.

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

Dividing by 98,72gd undoes the multiplication by 98,72gd.

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

Divide 98x+648y by 98,72gd.

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

Solve for d

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

Steps for Solving Linear Equation

Multiply 72 and 9 to get 648.

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

The equation is in standard form.

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

Divide both sides by 98,72gc.

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

Dividing by 98,72gc undoes the multiplication by 98,72gc.

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

Divide 98x+648y by 98,72gc.

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