Solve Ydivx=3.966

$$Y \div x = 3.966$$

Solve for x

$$x=\frac{500Y}{1983}$$

$$Y\neq 0$$

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.

$$Y=3.966x$$

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

$$3.966x=Y$$

Divide both sides of the equation by 3.966, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{3.966x}{3.966}=\frac{Y}{3.966}$$

Dividing by 3.966 undoes the multiplication by 3.966.

$$x=\frac{Y}{3.966}$$

Divide Y by 3.966 by multiplying Y by the reciprocal of 3.966.

$$x=\frac{500Y}{1983}$$

Variable x cannot be equal to 0.

$$x=\frac{500Y}{1983}\text{, }x\neq 0$$

Solve for Y

$$Y=\frac{1983x}{500}$$

$$x\neq 0$$

Solution Steps

Multiply both sides of the equation by x.

$$Y=3.966x$$