Solve 5/x=3/y

$$\frac { 5 } { x } = \frac { 3 } { y }$$

Solve for x

$$x=\frac{5y}{3}$$

$$y\neq 0$$

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.

$$y\times 5=x\times 3$$

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

$$x\times 3=y\times 5$$

The equation is in standard form.

$$3x=5y$$

Divide both sides by 3.

$$\frac{3x}{3}=\frac{5y}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$x=\frac{5y}{3}$$

Variable x cannot be equal to 0.

$$x=\frac{5y}{3}\text{, }x\neq 0$$

Solve for y

$$y=\frac{3x}{5}$$

$$x\neq 0$$

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.

$$y\times 5=x\times 3$$

The equation is in standard form.

$$5y=3x$$

Divide both sides by 5.

$$\frac{5y}{5}=\frac{3x}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$y=\frac{3x}{5}$$

Variable y cannot be equal to 0.

$$y=\frac{3x}{5}\text{, }y\neq 0$$