Solve y/b=x

$$\frac { y } { b } = x$$

Solve for b

$$\left\{\begin{matrix}b=\frac{y}{x}\text{, }&y\neq 0\text{ and }x\neq 0\\b\neq 0\text{, }&x=0\text{ and }y=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by b.

$$y=xb$$

Swap sides so that all variable terms are on the left hand side.

$$xb=y$$

Divide both sides by x.

$$\frac{xb}{x}=\frac{y}{x}$$

Dividing by x undoes the multiplication by x.

$$b=\frac{y}{x}$$

Variable b cannot be equal to 0.

$$b=\frac{y}{x}\text{, }b\neq 0$$

Solve for x

$$x=\frac{y}{b}$$

$$b\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by b.

$$y=xb$$

Swap sides so that all variable terms are on the left hand side.

$$xb=y$$

The equation is in standard form.

$$bx=y$$

Divide both sides by b.

$$\frac{bx}{b}=\frac{y}{b}$$

Dividing by b undoes the multiplication by b.

$$x=\frac{y}{b}$$