Solve y=4-1/x

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

Solve for x

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

$$y\neq 4$$

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.

$$yx=x\times 4-1$$

Subtract x\times 4 from both sides.

$$yx-x\times 4=-1$$

Multiply -1 and 4 to get -4.

$$yx-4x=-1$$

Combine all terms containing x.

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

Divide both sides by y-4.

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

Dividing by y-4 undoes the multiplication by y-4.

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

Variable x cannot be equal to 0.

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

Solve for y

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

$$x\neq 0$$