Solve y=3/x+1

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

Solve for x

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

$$y\neq 1$$

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.

$$yx=3+x$$

Subtract x from both sides.

$$yx-x=3$$

Combine all terms containing x.

$$\left(y-1\right)x=3$$

Divide both sides by y-1.

$$\frac{\left(y-1\right)x}{y-1}=\frac{3}{y-1}$$

Dividing by y-1 undoes the multiplication by y-1.

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

Variable x cannot be equal to 0.

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

Solve for y

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

$$x\neq 0$$