Solve x/y=3/2

$$\frac { x } { y } = \frac { 3 } { 2 }$$

Solve for x

$$x=\frac{3y}{2}$$

$$y\neq 0$$

Steps for Solving Linear Equation

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

$$2x=3y$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{3y}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{3y}{2}$$

Solve for y

$$y=\frac{2x}{3}$$

$$x\neq 0$$

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 2y, the least common multiple of y,2.

$$2x=3y$$

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

$$3y=2x$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{2x}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{2x}{3}$$

Variable y cannot be equal to 0.

$$y=\frac{2x}{3}\text{, }y\neq 0$$