Solve 8/x=4.8/y

$$\frac { 8 } { x } = \frac { 4.8 } { y }$$

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.

$$y\times 8=x\times 4.8$$

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

$$x\times 4.8=y\times 8$$

The equation is in standard form.

$$4.8x=8y$$

Divide both sides of the equation by 4.8, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{4.8x}{4.8}=\frac{8y}{4.8}$$

Dividing by 4.8 undoes the multiplication by 4.8.

$$x=\frac{8y}{4.8}$$

Divide 8y by 4.8 by multiplying 8y by the reciprocal of 4.8.

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

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.

$$y\times 8=x\times 4.8$$

The equation is in standard form.

$$8y=\frac{24x}{5}$$

Divide both sides by 8.

$$\frac{8y}{8}=\frac{24x}{5\times 8}$$

Dividing by 8 undoes the multiplication by 8.

$$y=\frac{24x}{5\times 8}$$

Divide \frac{24x}{5} by 8.

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

Variable y cannot be equal to 0.

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