Solve x:z=3:1/3

$$x : z = 3 : \frac { 1 } { 3 }$$

Solve for x

$$x=9z$$

$$z\neq 0$$

Solution Steps

Multiply both sides of the equation by z.

$$x=z\times \frac{3}{\frac{1}{3}}$$

Divide 3 by \frac{1}{3} by multiplying 3 by the reciprocal of \frac{1}{3}.

$$x=z\times 3\times 3$$

Multiply 3 and 3 to get 9.

$$x=z\times 9$$

Solve for z

$$z=\frac{x}{9}$$

$$x\neq 0$$

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 z.

$$x=z\times \frac{3}{\frac{1}{3}}$$

Divide 3 by \frac{1}{3} by multiplying 3 by the reciprocal of \frac{1}{3}.

$$x=z\times 3\times 3$$

Multiply 3 and 3 to get 9.

$$x=z\times 9$$

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

$$z\times 9=x$$

The equation is in standard form.

$$9z=x$$

Divide both sides by 9.

$$\frac{9z}{9}=\frac{x}{9}$$

Dividing by 9 undoes the multiplication by 9.

$$z=\frac{x}{9}$$

Variable z cannot be equal to 0.

$$z=\frac{x}{9}\text{, }z\neq 0$$