Solve x-y=22/x

$$x - y = \frac { 22 } { x }$$

Solve for y

$$y=x-\frac{22}{x}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x.

$$xx-yx=22$$

Multiply x and x to get x^{2}.

$$x^{2}-yx=22$$

Subtract x^{2} from both sides.

$$-yx=22-x^{2}$$

The equation is in standard form.

$$\left(-x\right)y=22-x^{2}$$

Divide both sides by -x.

$$\frac{\left(-x\right)y}{-x}=\frac{22-x^{2}}{-x}$$

Dividing by -x undoes the multiplication by -x.

$$y=\frac{22-x^{2}}{-x}$$

Divide 22-x^{2} by -x.

$$y=x-\frac{22}{x}$$

Solve for x

$$x=\frac{\sqrt{y^{2}+88}+y}{2}$$

$$x=\frac{-\sqrt{y^{2}+88}+y}{2}$$