Solve 3=x+1/y

$$3 = \frac { x + 1 } { y }$$

Solve for x

$$x=3y-1$$

$$y\neq 0$$

Solution Steps

Multiply both sides of the equation by y.

$$3y=x+1$$

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

$$x+1=3y$$

Subtract 1 from both sides.

$$x=3y-1$$

Solve for y

$$y=\frac{x+1}{3}$$

$$x\neq -1$$

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 y.

$$3y=x+1$$

Divide both sides by 3.

$$\frac{3y}{3}=\frac{x+1}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$y=\frac{x+1}{3}$$

Variable y cannot be equal to 0.

$$y=\frac{x+1}{3}\text{, }y\neq 0$$