Solve 11/x=14/y

$$\frac { 11 } { x } = \frac { 14 } { y }$$

Solve for x

$$x=\frac{11y}{14}$$

$$y\neq 0$$

Steps for Solving Linear Equation

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

$$y\times 11=x\times 14$$

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

$$x\times 14=y\times 11$$

The equation is in standard form.

$$14x=11y$$

Divide both sides by 14.

$$\frac{14x}{14}=\frac{11y}{14}$$

Dividing by 14 undoes the multiplication by 14.

$$x=\frac{11y}{14}$$

Variable x cannot be equal to 0.

$$x=\frac{11y}{14}\text{, }x\neq 0$$

Solve for y

$$y=\frac{14x}{11}$$

$$x\neq 0$$

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 xy, the least common multiple of x,y.

$$y\times 11=x\times 14$$

The equation is in standard form.

$$11y=14x$$

Divide both sides by 11.

$$\frac{11y}{11}=\frac{14x}{11}$$

Dividing by 11 undoes the multiplication by 11.

$$y=\frac{14x}{11}$$

Variable y cannot be equal to 0.

$$y=\frac{14x}{11}\text{, }y\neq 0$$