Solve 0.75=y/x

$$0.75= \frac{ y }{ x }$$

Solve for x

$$x=\frac{4y}{3}$$

$$y\neq 0$$

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 x.

$$0.75x=y$$

Divide both sides of the equation by 0.75, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.75x}{0.75}=\frac{y}{0.75}$$

Dividing by 0.75 undoes the multiplication by 0.75.

$$x=\frac{y}{0.75}$$

Divide y by 0.75 by multiplying y by the reciprocal of 0.75.

$$x=\frac{4y}{3}$$

Variable x cannot be equal to 0.

$$x=\frac{4y}{3}\text{, }x\neq 0$$

Solve for y

$$y=\frac{3x}{4}$$

$$x\neq 0$$

Solution Steps

Multiply both sides of the equation by x.

$$0.75x=y$$

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

$$y=0.75x$$