Solve abc=1.text{provethat}:1/1+a+b^-1+1/1+b+c^-1+1/1+c+a^-1=1

$$a b c = 1 . \text { prove that } : \frac { 1 } { 1 + a + b ^ { - 1 } } + \frac { 1 } { 1 + b + c ^ { - 1 } } + \frac { 1 } { 1 + c + a ^ { - 1 } } = 1$$

Solve for a

$$a=\frac{1}{bc}$$

$$c\neq 0\text{ and }b\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$bca=1$$

Divide both sides by bc.

$$\frac{bca}{bc}=\frac{1}{bc}$$

Dividing by bc undoes the multiplication by bc.

$$a=\frac{1}{bc}$$

Solve for b

$$b=\frac{1}{ac}$$

$$c\neq 0\text{ and }a\neq 0$$

Steps for Solving Linear Equation

The equation is in standard form.

$$acb=1$$

Divide both sides by ac.

$$\frac{acb}{ac}=\frac{1}{ac}$$

Dividing by ac undoes the multiplication by ac.

$$b=\frac{1}{ac}$$