Solve g=2/1-r

$$g = \frac { 2 } { 1 - r }$$

Solve for r

$$r=\frac{g-2}{g}$$

$$g\neq 0$$

Steps for Solving Linear Equation

Variable r cannot be equal to 1 since division by zero is not defined. Multiply both sides of the equation by -r+1.

$$g\left(-r+1\right)=2$$

Use the distributive property to multiply g by -r+1.

$$-gr+g=2$$

Subtract g from both sides.

$$-gr=2-g$$

The equation is in standard form.

$$\left(-g\right)r=2-g$$

Divide both sides by -g.

$$\frac{\left(-g\right)r}{-g}=\frac{2-g}{-g}$$

Dividing by -g undoes the multiplication by -g.

$$r=\frac{2-g}{-g}$$

Divide 2-g by -g.

$$r=1-\frac{2}{g}$$

Variable r cannot be equal to 1.

$$r=1-\frac{2}{g}\text{, }r\neq 1$$

Solve for g

$$g=\frac{2}{1-r}$$

$$r\neq 1$$