Solve 54/w=x/100

$$\frac { 54 } { w } = \frac { x } { 100 }$$

Solve for w

$$w=\frac{5400}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable w cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 100w, the least common multiple of w,100.

$$100\times 54=wx$$

Multiply 100 and 54 to get 5400.

$$5400=wx$$

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

$$wx=5400$$

The equation is in standard form.

$$xw=5400$$

Divide both sides by x.

$$\frac{xw}{x}=\frac{5400}{x}$$

Dividing by x undoes the multiplication by x.

$$w=\frac{5400}{x}$$

Variable w cannot be equal to 0.

$$w=\frac{5400}{x}\text{, }w\neq 0$$

Solve for x

$$x=\frac{5400}{w}$$

$$w\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100w, the least common multiple of w,100.

$$100\times 54=wx$$

Multiply 100 and 54 to get 5400.

$$5400=wx$$

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

$$wx=5400$$

Divide both sides by w.

$$\frac{wx}{w}=\frac{5400}{w}$$

Dividing by w undoes the multiplication by w.

$$x=\frac{5400}{w}$$