Solve y=x*[1/x]

$$y = x \cdot [ \frac { 1 } { x } ]$$

Solve for x

$$x\neq 0$$

$$y=1\text{ and }x\neq 0$$

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.

$$yx=x\times 1$$

Subtract x\times 1 from both sides.

$$yx-x\times 1=0$$

Reorder the terms.

$$xy-x=0$$

Combine all terms containing x.

$$\left(y-1\right)x=0$$

Divide 0 by y-1.

$$x=0$$

Variable x cannot be equal to 0.

$$x\in \emptyset$$

Solve for y

$$y=1$$

$$x\neq 0$$

Steps for Solving Linear Equation

Express x\times \frac{1}{x} as a single fraction.

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

Cancel out x in both numerator and denominator.

$$y=1$$