Solve y=x+4/x

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

Solve for x

$$x=\frac{4}{y-1}$$

$$y\neq 1$$

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.

$$yx=x+4$$

Subtract x from both sides.

$$yx-x=4$$

Combine all terms containing x.

$$\left(y-1\right)x=4$$

Divide both sides by y-1.

$$\frac{\left(y-1\right)x}{y-1}=\frac{4}{y-1}$$

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

$$x=\frac{4}{y-1}$$

Variable x cannot be equal to 0.

$$x=\frac{4}{y-1}\text{, }x\neq 0$$

Solve for y

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

$$x\neq 0$$