Solve 1/2=x/y

$$\frac { 1 } { 2 } = \frac { x } { y }$$

Solve for x

$$x=\frac{y}{2}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2y, the least common multiple of 2,y.

$$y=2x$$

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

$$2x=y$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{y}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{y}{2}$$

Solve for y

$$y=2x$$

$$x\neq 0$$

Solution Steps

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2y, the least common multiple of 2,y.

$$y=2x$$

Variable y cannot be equal to 0.

$$y=2x\text{, }y\neq 0$$