Solve x/y=53/67

$$\frac { x } { y } = \frac { 53 } { 67 }$$

Solve for x

$$x=\frac{53y}{67}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 67y, the least common multiple of y,67.

$$67x=53y$$

Divide both sides by 67.

$$\frac{67x}{67}=\frac{53y}{67}$$

Dividing by 67 undoes the multiplication by 67.

$$x=\frac{53y}{67}$$

Solve for y

$$y=\frac{67x}{53}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 67y, the least common multiple of y,67.

$$67x=53y$$

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

$$53y=67x$$

Divide both sides by 53.

$$\frac{53y}{53}=\frac{67x}{53}$$

Dividing by 53 undoes the multiplication by 53.

$$y=\frac{67x}{53}$$

Variable y cannot be equal to 0.

$$y=\frac{67x}{53}\text{, }y\neq 0$$