Solve x/9=14/y

$$\frac { x } { 9 } = \frac { 14 } { y }$$

Solve for x

$$x=\frac{126}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9y, the least common multiple of 9,y.

$$yx=9\times 14$$

Multiply 9 and 14 to get 126.

$$yx=126$$

Divide both sides by y.

$$\frac{yx}{y}=\frac{126}{y}$$

Dividing by y undoes the multiplication by y.

$$x=\frac{126}{y}$$

Solve for y

$$y=\frac{126}{x}$$

$$x\neq 0$$

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 9y, the least common multiple of 9,y.

$$yx=9\times 14$$

Multiply 9 and 14 to get 126.

$$yx=126$$

The equation is in standard form.

$$xy=126$$

Divide both sides by x.

$$\frac{xy}{x}=\frac{126}{x}$$

Dividing by x undoes the multiplication by x.

$$y=\frac{126}{x}$$

Variable y cannot be equal to 0.

$$y=\frac{126}{x}\text{, }y\neq 0$$