Solve y=2/2x-1

$$y = \frac { 2 } { 2 x - 1 }$$

Solve for x

$$x=\frac{1}{2}+\frac{1}{y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Variable x cannot be equal to \frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 2x-1.

$$y\left(2x-1\right)=2$$

Use the distributive property to multiply y by 2x-1.

$$2yx-y=2$$

Add y to both sides.

$$2yx=2+y$$

The equation is in standard form.

$$2yx=y+2$$

Divide both sides by 2y.

$$\frac{2yx}{2y}=\frac{y+2}{2y}$$

Dividing by 2y undoes the multiplication by 2y.

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

Divide y+2 by 2y.

$$x=\frac{1}{2}+\frac{1}{y}$$

Variable x cannot be equal to \frac{1}{2}.

$$x=\frac{1}{2}+\frac{1}{y}\text{, }x\neq \frac{1}{2}$$

Solve for y

$$y=\frac{2}{2x-1}$$

$$x\neq \frac{1}{2}$$