Solve x:y=4:5

$$x : y = 4 : 5$$

Solve for x

$$x=\frac{4y}{5}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5y, the least common multiple of y,5.

$$5x=4y$$

Divide both sides by 5.

$$\frac{5x}{5}=\frac{4y}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$x=\frac{4y}{5}$$

Solve for y

$$y=\frac{5x}{4}$$

$$x\neq 0$$

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 5y, the least common multiple of y,5.

$$5x=4y$$

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

$$4y=5x$$

Divide both sides by 4.

$$\frac{4y}{4}=\frac{5x}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$y=\frac{5x}{4}$$

Variable y cannot be equal to 0.

$$y=\frac{5x}{4}\text{, }y\neq 0$$