Solve y=dx/x

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

Solve for d

$$d=y$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$yx=dx$$

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

$$dx=yx$$

The equation is in standard form.

$$xd=xy$$

Divide both sides by x.

$$\frac{xd}{x}=\frac{xy}{x}$$

Dividing by x undoes the multiplication by x.

$$d=\frac{xy}{x}$$

Divide yx by x.

$$d=y$$

Solve for x

$$x\neq 0$$

$$y=d$$

Steps for Solving Linear Equation

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

$$yx=dx$$

Subtract dx from both sides.

$$yx-dx=0$$

Combine all terms containing x.

$$\left(y-d\right)x=0$$

Divide 0 by y-d.

$$x=0$$

Variable x cannot be equal to 0.

$$x\in \emptyset$$