Solve xi=sigma/y*y

$$\xi = \frac { \sigma } { y } \cdot y$$

Solve for y

$$y\neq 0$$

$$\xi =\sigma$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by y.

$$\xi y=\sigma y$$

Subtract \sigma y from both sides.

$$\xi y-\sigma y=0$$

Combine all terms containing y.

$$\left(\xi -\sigma \right)y=0$$

Divide 0 by \xi -\sigma .

$$y=0$$

Variable y cannot be equal to 0.

$$y\in \emptyset$$

Solve for ξ

$$\xi =\sigma$$

$$y\neq 0$$

Solution Steps

Express \frac{\sigma }{y}y as a single fraction.

$$\xi =\frac{\sigma y}{y}$$

Cancel out y in both numerator and denominator.

$$\xi =\sigma$$