Solve x/y*100=4y/y*100

$$\frac{ x }{ y } \times 100= \frac{ 4y }{ y } \times 100$$

Solve for x

$$x=4y$$

$$y\neq 0$$

Solution Steps

Cancel out 100 on both sides.

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

Multiply both sides of the equation by y.

$$x=4y$$

Solve for y

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

$$x\neq 0$$

Steps for Solving Linear Equation

Cancel out 100 on both sides.

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

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$x=4y$$

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

$$4y=x$$

Divide both sides by 4.

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

Dividing by 4 undoes the multiplication by 4.

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

Variable y cannot be equal to 0.

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