Solve a=6/c-6

$$a = \frac { 6 } { c - 6 }$$

Solve for c

$$c=6+\frac{6}{a}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Variable c cannot be equal to 6 since division by zero is not defined. Multiply both sides of the equation by c-6.

$$a\left(c-6\right)=6$$

Use the distributive property to multiply a by c-6.

$$ac-6a=6$$

Add 6a to both sides.

$$ac=6+6a$$

The equation is in standard form.

$$ac=6a+6$$

Divide both sides by a.

$$\frac{ac}{a}=\frac{6a+6}{a}$$

Dividing by a undoes the multiplication by a.

$$c=\frac{6a+6}{a}$$

Divide 6+6a by a.

$$c=6+\frac{6}{a}$$

Variable c cannot be equal to 6.

$$c=6+\frac{6}{a}\text{, }c\neq 6$$

Solve for a

$$a=\frac{6}{c-6}$$

$$c\neq 6$$