Solve 3/d=2/z

$$\frac { 3 } { d } = \frac { 2 } { z }$$

Solve for d

$$d=\frac{3z}{2}$$

$$z\neq 0$$

Steps for Solving Linear Equation

Variable d cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by dz, the least common multiple of d,z.

$$z\times 3=d\times 2$$

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

$$d\times 2=z\times 3$$

The equation is in standard form.

$$2d=3z$$

Divide both sides by 2.

$$\frac{2d}{2}=\frac{3z}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$d=\frac{3z}{2}$$

Variable d cannot be equal to 0.

$$d=\frac{3z}{2}\text{, }d\neq 0$$

Solve for z

$$z=\frac{2d}{3}$$

$$d\neq 0$$

Steps for Solving Linear Equation

Variable z cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by dz, the least common multiple of d,z.

$$z\times 3=d\times 2$$

The equation is in standard form.

$$3z=2d$$

Divide both sides by 3.

$$\frac{3z}{3}=\frac{2d}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$z=\frac{2d}{3}$$

Variable z cannot be equal to 0.

$$z=\frac{2d}{3}\text{, }z\neq 0$$