Solve x=5/6+(y-1)*(-1/6)

$$x= \frac{ 5 }{ 6 } +(y-1) \times (- \frac{ 1 }{ 6 } )$$

Solve for x

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

Solution Steps

Use the distributive property to multiply y-1 by -\frac{1}{6}.

$$x=\frac{5}{6}-\frac{1}{6}y+\frac{1}{6}$$

Add \frac{5}{6} and \frac{1}{6} to get 1.

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

Solve for y

$$y=6-6x$$

Steps for Solving Linear Equation

Use the distributive property to multiply y-1 by -\frac{1}{6}.

$$x=\frac{5}{6}-\frac{1}{6}y+\frac{1}{6}$$

Add \frac{5}{6} and \frac{1}{6} to get 1.

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

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

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

Subtract 1 from both sides.

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

Multiply both sides by -6.

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

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

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

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

$$y=6-6x$$