Solve x/x^2-y=0

$$\frac { x } { x ^ { 2 } } - y = 0$$

Solve for y

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

$$x\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x^{2}.

$$x-yx^{2}=0$$

Subtract x from both sides. Anything subtracted from zero gives its negation.

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

Cancel out -1 on both sides.

$$yx^{2}=x$$

The equation is in standard form.

$$x^{2}y=x$$

Divide both sides by x^{2}.

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

Dividing by x^{2} undoes the multiplication by x^{2}.

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

Divide x by x^{2}.

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

Solve for x

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

$$y\neq 0$$