Solve 3/8=x/y

$$\frac{ 3 }{ 8 } = \frac{ x }{ y }$$

Solve for x

$$x=\frac{3y}{8}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8y, the least common multiple of 8,y.

$$3y=8x$$

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

$$8x=3y$$

Divide both sides by 8.

$$\frac{8x}{8}=\frac{3y}{8}$$

Dividing by 8 undoes the multiplication by 8.

$$x=\frac{3y}{8}$$

Solve for y

$$y=\frac{8x}{3}$$

$$x\neq 0$$

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 8y, the least common multiple of 8,y.

$$3y=8x$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{8x}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{8x}{3}$$

Variable y cannot be equal to 0.

$$y=\frac{8x}{3}\text{, }y\neq 0$$