Solve y=x+6/6

$$y = \frac { x + 6 } { 6 }$$

Solve for x

$$x=6\left(y-1\right)$$

Steps for Solving Linear Equation

Divide each term of x+6 by 6 to get \frac{1}{6}x+1.

$$y=\frac{1}{6}x+1$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{6}x+1=y$$

Subtract 1 from both sides.

$$\frac{1}{6}x=y-1$$

Multiply both sides by 6.

$$\frac{\frac{1}{6}x}{\frac{1}{6}}=\frac{y-1}{\frac{1}{6}}$$

Dividing by \frac{1}{6} undoes the multiplication by \frac{1}{6}.

$$x=\frac{y-1}{\frac{1}{6}}$$

Divide y-1 by \frac{1}{6} by multiplying y-1 by the reciprocal of \frac{1}{6}.

$$x=6y-6$$

Solve for y

$$y=\frac{x+6}{6}$$

Solution Steps

Divide each term of x+6 by 6 to get \frac{1}{6}x+1.

$$y=\frac{1}{6}x+1$$